Issue:
feat(connector): Add recovery support for stripebilling

## Type of Change
<!-- Put an `x` in the boxes that apply -->

- [ ] Bugfix
- [x] New feature
- [x] Enhancement
- [ ] Refactoring
- [ ] Dependency updates
- [ ] Documentation
- [ ] CI/CD

## Description
Context: In case of some billing connectors we dont get the enough data in the webhook itself to support creation of payment intent and payment attempt in our system.  So previously we derived a flow named "AdditionalRevenuerecoveryDetails" in this PR:#7402 which name is now changed to "BillingConnectorPaymentSync". This flow is used to fetch payment details of the invoices from the billing connectors using an API call to that billing connector. In this pr we are calling the flow and getting the details which are needed to create payment intent and attempt in our system. 
1. Creates a connector integration in stripe billing that supports the API call.
2. Call the flow in recovery_incoming.rs file and using that details further we are creating the payment intent and attempt and verifying them.

### Additional Changes

- [ ] This PR modifies the API contract
- [ ] This PR modifies the database schema
- [ ] This PR modifies application configuration/environment variables

<!--
Provide links to the files with corresponding changes.

Following are the paths where you can find config files:
1. `config`
3. `crates/router/src/configs`
4. `loadtest/config`
-->


## Motivation and Context

## Testing
1. Go to stripe create a new webhook endpoint with a dummy url to get webhook secret key.
2. create a payment processor stripe
```

curl --location 'http://localhost:8080/v2/connector-accounts' \
--header 'Content-Type: application/json' \
--header 'Accept: application/json' \
--header 'x-merchant-id: cloth_seller_mQRYaJduFokPeZ54W6bN' \
--header 'x-profile-id: pro_me6dnNKlhwuq32xhfjCA' \
--header 'Authorization: admin-api-key=test_admin' \
--header 'api-key: test_admin' \
--data '{
    "connector_type": "payment_processor",
    "connector_name": "stripe",
    "connector_account_details": {
        "auth_type": "HeaderKey",
        "api_key": "api-key 
},
    "payment_methods_enabled": [
        {
            "payment_method_type": "card_redirect",
            "payment_method_subtypes": [
                {
                    "payment_method_subtype": "card_redirect",
                    "payment_experience": "redirect_to_url",
                    "card_networks": null,
                    "accepted_currencies": null,
                    "accepted_countries": null,
                    "minimum_amount": 1,
                    "maximum_amount": 68607706,
                    "recurring_enabled": true,
                    "installment_payment_enabled": true
                }
            ]
        },
        {
            "payment_method_type": "card",
            "payment_method_subtypes": [
                {
                    "payment_method_subtype": "credit",
                    "payment_experience": null,
                    "card_networks": [
                        "Visa",
                        "Mastercard"
                    ],
                    "accepted_currencies": null,
                    "accepted_countries": null,
                    "minimum_amount": -1,
                    "maximum_amount": 68607706,
                    "recurring_enabled": true,
                    "installment_payment_enabled": true
                },
                {
                    "payment_method_subtype": "debit",
                    "payment_experience": null,
                    "card_networks": [
                        "Visa",
                        "Mastercard"
                    ],
                    "accepted_currencies": null,
                    "accepted_countries": null,
                    "minimum_amount": -1,
                    "maximum_amount": 68607706,
                    "recurring_enabled": true,
                    "installment_payment_enabled": true
                }
            ]
        },
        {
            "payment_method_type": "wallet",
            "payment_method_subtypes": [
                {
                    "payment_method_subtype": "google_pay",
                    "payment_experience": null,
                    "card_networks": null,
                    "accepted_currencies": null,
                    "accepted_countries": null,
                    "minimum_amount": -1,
                    "maximum_amount": 68607706,
                    "recurring_enabled": true,
                    "installment_payment_enabled": true
                },
                {
                    "payment_method_subtype": "apple_pay",
                    "payment_experience": null,
                    "card_networks": null,
                    "accepted_currencies": null,
                    "accepted_countries": null,
                    "minimum_amount": -1,
                    "maximum_amount": 68607706,
                    "recurring_enabled": true,
                    "installment_payment_enabled": true
                },
                {
                    "payment_method_subtype": "we_chat_pay",
                    "payment_experience": null,
                    "card_networks": null,
                    "accepted_currencies": null,
                    "accepted_countries": null,
                    "minimum_amount": -1,
                    "maximum_amount": 68607706,
                    "recurring_enabled": true,
                    "installment_payment_enabled": true
                },
                {
                    "payment_method_subtype": "ali_pay",
                    "payment_experience": null,
                    "card_networks": null,
                    "accepted_currencies": null,
                    "accepted_countries": null,
                    "minimum_amount": -1,
                    "maximum_amount": 68607706,
                    "recurring_enabled": true,
                    "installment_payment_enabled": true
                },
                {
                    "payment_method_subtype": "paypal",
                    "payment_experience": null,
                    "card_networks": null,
                    "accepted_currencies": null,
                    "accepted_countries": null,
                    "minimum_amount": -1,
                    "maximum_amount": 68607706,
                    "recurring_enabled": true,
                    "installment_payment_enabled": true
                },
                {
                    "payment_method_subtype": "mb_way",
                    "payment_experience": null,
                    "card_networks": null,
                    "accepted_currencies": null,
                    "accepted_countries": null,
                    "minimum_amount": -1,
                    "maximum_amount": 68607706,
                    "recurring_enabled": true,
                    "installment_payment_enabled": true
                }
            ]
        },
        {
            "payment_method_type": "pay_later",
            "payment_method_subtypes": [
                {
                    "payment_method_subtype": "klarna",
                    "payment_experience": "redirect_to_url",
                    "card_networks": null,
                    "accepted_currencies": null,
                    "accepted_countries": null,
                    "minimum_amount": -1,
                    "maximum_amount": 68607706,
                    "recurring_enabled": true,
                    "installment_payment_enabled": true
                },
                {
                    "payment_method_subtype": "affirm",
                    "payment_experience": "redirect_to_url",
                    "card_networks": null,
                    "accepted_currencies": null,
                    "accepted_countries": null,
                    "minimum_amount": -1,
                    "maximum_amount": 68607706,
                    "recurring_enabled": true,
                    "installment_payment_enabled": true
                },
                {
                    "payment_method_subtype": "afterpay_clearpay",
                    "payment_experience": "redirect_to_url",
                    "card_networks": null,
                    "accepted_currencies": null,
                    "accepted_countries": null,
                    "minimum_amount": -1,
                    "maximum_amount": 68607706,
                    "recurring_enabled": true,
                    "installment_payment_enabled": true
                },
                {
                    "payment_method_subtype": "walley",
                    "payment_experience": "redirect_to_url",
                    "card_networks": null,
                    "accepted_currencies": null,
                    "accepted_countries": null,
                    "minimum_amount": -1,
                    "maximum_amount": 68607706,
                    "recurring_enabled": true,
                    "installment_payment_enabled": true
                }
            ]
        },
        {
            "payment_method_type": "bank_redirect",
            "payment_method_subtypes": [
                {
                    "payment_method_subtype": "giropay",
                    "payment_experience": "redirect_to_url",
                    "card_networks": null,
                    "accepted_currencies": null,
                    "accepted_countries": null,
                    "minimum_amount": -1,
                    "maximum_amount": 68607706,
                    "recurring_enabled": true,
                    "installment_payment_enabled": true
                },
                {
                    "payment_method_subtype": "ideal",
                    "payment_experience": "redirect_to_url",
                    "card_networks": null,
                    "accepted_currencies": null,
                    "accepted_countries": null,
                    "minimum_amount": -1,
                    "maximum_amount": 68607706,
                    "recurring_enabled": true,
                    "installment_payment_enabled": true
                },
                {
                    "payment_method_subtype": "eps",
                    "payment_experience": "redirect_to_url",
                    "card_networks": null,
                    "accepted_currencies": null,
                    "accepted_countries": null,
                    "minimum_amount": -1,
                    "maximum_amount": 68607706,
                    "recurring_enabled": true,
                    "installment_payment_enabled": true
                },
                {
                    "payment_method_subtype": "bancontact_card",
                    "payment_experience": "redirect_to_url",
                    "card_networks": null,
                    "accepted_currencies": null,
                    "accepted_countries": null,
                    "minimum_amount": -1,
                    "maximum_amount": 68607706,
                    "recurring_enabled": true,
                    "installment_payment_enabled": true
                },
                {
                    "payment_method_subtype": "przelewy24",
                    "payment_experience": "redirect_to_url",
                    "card_networks": null,
                    "accepted_currencies": null,
                    "accepted_countries": null,
                    "minimum_amount": -1,
                    "maximum_amount": 68607706,
                    "recurring_enabled": true,
                    "installment_payment_enabled": true
                },
                {
                    "payment_method_subtype": "sofort",
                    "payment_experience": "redirect_to_url",
                    "card_networks": null,
                    "accepted_currencies": null,
                    "accepted_countries": null,
                    "minimum_amount": -1,
                    "maximum_amount": 68607706,
                    "recurring_enabled": true,
                    "installment_payment_enabled": true
                },
                {
                    "payment_method_subtype": "blik",
                    "payment_experience": "redirect_to_url",
                    "card_networks": null,
                    "accepted_currencies": null,
                    "accepted_countries": null,
                    "minimum_amount": -1,
                    "maximum_amount": 68607706,
                    "recurring_enabled": true,
                    "installment_payment_enabled": true
                },
                {
                    "payment_method_subtype": "trustly",
                    "payment_experience": "redirect_to_url",
                    "card_networks": null,
                    "accepted_currencies": null,
                    "accepted_countries": null,
                    "minimum_amount": -1,
                    "maximum_amount": 68607706,
                    "recurring_enabled": true,
                    "installment_payment_enabled": true
                },
                {
                    "payment_method_subtype": "online_banking_finland",
                    "payment_experience": "redirect_to_url",
                    "card_networks": null,
                    "accepted_currencies": null,
                    "accepted_countries": null,
                    "minimum_amount": -1,
                    "maximum_amount": 68607706,
                    "recurring_enabled": true,
                    "installment_payment_enabled": true
                },
                {
                    "payment_method_subtype": "online_banking_poland",
                    "payment_experience": "redirect_to_url",
                    "card_networks": null,
                    "accepted_currencies": null,
                    "accepted_countries": null,
                    "minimum_amount": -1,
                    "maximum_amount": 68607706,
                    "recurring_enabled": true,
                    "installment_payment_enabled": true
                }
            ]
        },
        {
            "payment_method_type": "bank_transfer",
            "payment_method_subtypes": [
                {
                    "payment_method_subtype": "ach",
                    "payment_experience": "redirect_to_url",
                    "card_networks": null,
                    "accepted_currencies": null,
                    "accepted_countries": null,
                    "minimum_amount": -1,
                    "maximum_amount": 68607706,
                    "recurring_enabled": true,
                    "installment_payment_enabled": true
                },
                {
                    "payment_method_subtype": "sepa",
                    "payment_experience": "redirect_to_url",
                    "card_networks": null,
                    "accepted_currencies": null,
                    "accepted_countries": null,
                    "minimum_amount": -1,
                    "maximum_amount": 68607706,
                    "recurring_enabled": true,
                    "installment_payment_enabled": true
                },
                {
                    "payment_method_subtype": "bacs",
                    "payment_experience": "redirect_to_url",
                    "card_networks": null,
                    "accepted_currencies": null,
                    "accepted_countries": null,
                    "minimum_amount": -1,
                    "maximum_amount": 68607706,
                    "recurring_enabled": true,
                    "installment_payment_enabled": true
                }
            ]
        },
        {
            "payment_method_type": "bank_debit",
            "payment_method_subtypes": [
                {
                    "payment_method_subtype": "ach",
                    "payment_experience": null,
                    "card_networks": null,
                    "accepted_currencies": null,
                    "accepted_countries": null,
                    "minimum_amount": -1,
                    "maximum_amount": 68607706,
                    "recurring_enabled": true,
                    "installment_payment_enabled": true
                },
                {
                    "payment_method_subtype": "sepa",
                    "payment_experience": null,
                    "card_networks": null,
                    "accepted_currencies": null,
                    "accepted_countries": null,
                    "minimum_amount": -1,
                    "maximum_amount": 68607706,
                    "recurring_enabled": true,
                    "installment_payment_enabled": true
                },
                {
                    "payment_method_subtype": "bacs",
                    "payment_experience": null,
                    "card_networks": null,
                    "accepted_currencies": null,
                    "accepted_countries": null,
                    "minimum_amount": -1,
                    "maximum_amount": 68607706,
                    "recurring_enabled": true,
                    "installment_payment_enabled": true
                },
                {
                    "payment_method_subtype": "becs",
                    "payment_experience": null,
                    "card_networks": null,
                    "accepted_currencies": null,
                    "accepted_countries": null,
                    "minimum_amount": -1,
                    "maximum_amount": 68607706,
                    "recurring_enabled": true,
                    "installment_payment_enabled": true
                }
            ]
        }
    ],
    "metadata": {
        "status_url": "https://2753-2401-4900-1cb8-2ff9-24dd-1ccf-ed12-b464.in.ngrok.io/webhooks/merchant_1678699058/globalpay",
        "account_name": "transaction_processing",
        "pricing_type": "fixed_price",
        "acquirer_bin": "438309",
        "acquirer_merchant_id": "00002000000"
    },
    "frm_configs": null,
    "connector_webhook_details": {
        "merchant_secret": ""
    },
    "profile_id": "pro_me6dnNKlhwuq32xhfjCA"
}'

```

change the profile id and other feilds while creating you own one
3. copy the mca id of stripe and paste it in the billing mca curl in feature metadata
```

curl --location 'http://localhost:8080/v2/connector-accounts' \
--header 'Content-Type: application/json' \
--header 'Accept: application/json' \
--header 'x-merchant-id: cloth_seller_mQRYaJduFokPeZ54W6bN' \
--header 'x-profile-id: pro_me6dnNKlhwuq32xhfjCA' \
--header 'Authorization: admin-api-key=test_admin' \
--header 'api-key: test_admin' \
--data '{
    "connector_type": "billing_processor",
    "connector_name": "stripebilling",
    "connector_account_details": {
        "auth_type": "HeaderKey",
        "api_key": "{your api key}"
    },
    "payment_methods_enabled": [
        {
            "payment_method_type": "card",
            "payment_method_subtypes": [
                {
                    "payment_method_subtype": "credit",
                    "payment_experience": null,
                    "card_networks": [
                        "Visa",
                        "Mastercard"
                    ],
                    "accepted_currencies": null,
                    "accepted_countries": null,
                    "minimum_amount": -1,
                    "maximum_amount": 68607706,
                    "recurring_enabled": true,
                    "installment_payment_enabled": true
                },
                {
                    "payment_method_subtype": "debit",
                    "payment_experience": null,
                    "card_networks": [
                        "Visa",
                        "Mastercard"
                    ],
                    "accepted_currencies": null,
                    "accepted_countries": null,
                    "minimum_amount": -1,
                    "maximum_amount": 68607706,
                    "recurring_enabled": true,
                    "installment_payment_enabled": true
                }
            ]
        }
    ],
    "metadata": {
        "status_url": "https://2753-2401-4900-1cb8-2ff9-24dd-1ccf-ed12-b464.in.ngrok.io/webhooks/merchant_1678699058/globalpay",
        "account_name": "transaction_processing",
        "pricing_type": "fixed_price",
        "acquirer_bin": "438309",
        "acquirer_merchant_id": "00002000000"
    },
    "frm_configs": null,
    "feature_metadata" : {
        "revenue_recovery":{
            "max_retry_count" : 16,
            "billing_connector_retry_threshold": 2,
            "billing_account_reference": {
                "{your stripe mca id here}": "stripebilling"
            }
        }
    },
    "connector_webhook_details": {
        "merchant_secret": "{webhook secret you have copied here}"
    },
    "profile_id": "pro_me6dnNKlhwuq32xhfjCA"
}'

```

4. copy the mca id, profile id and merchant id to construct the endpoint of the webhook.
5. install ngrok and run the service it will give you a https url for your local host port.
6. copy the https url of ngrok
7. construct the webhook endpoint : url/v2/webhooks/merchant_id/profile_id/billing_mca_id
8. paste this endpoint in the place of dummy url you have used to create endpoint in stripe dashboard
9. now create a test subscription use this card "4000 0000 0000 0341" while creating a test subscription and the billing day should start from the next day. If you are creating a test subscription today billing date should start from tommorow.
10. now move the clock past one month.
11. no observe the payment intent table and payment attempt table in db and verify those details with ones we are getting.
Images of the logs:

<img width="1728" alt="Screenshot 2025-03-11 at 5 52 53 PM" src="https://github.com/user-attachments/assets/0a97b656-2417-4812-b9cd-a808183411ea" />
<img width="1728" alt="Screenshot 2025-03-11 at 5 53 10 PM" src="https://github.com/user-attachments/assets/5a9872f1-45a3-4bf5-978c-6e477df36c9f" />
<img width="1728" alt="Screenshot 2025-03-11 at 5 53 21 PM" src="https://github.com/user-attachments/assets/5cbac559-09d8-4939-b2a6-04bc8f50a1bc" />
<img width="1728" alt="Screenshot 2025-03-11 at 5 54 32 PM" src="https://github.com/user-attachments/assets/3eb3fb41-afd4-4a05-8c8b-715310a79d7d" />
<img width="1710" alt="Screenshot 2025-03-10 at 4 52 08 PM" src="https://github.com/user-attachments/assets/05477fdc-656b-42cd-ba27-880d5748cc19" />
<img width="1190" alt="Screenshot 2025-03-10 at 4 52 20 PM" src="https://github.com/user-attachments/assets/d9900f24-2b8f-45c5-b6c5-bd5dcd62357d" />


## Checklist
<!-- Put an `x` in the boxes that apply -->

- [x] I formatted the code `cargo +nightly fmt --all`
- [x] I addressed lints thrown by `cargo clippy`
- [x] I reviewed the submitted code
- [ ] I added unit tests for my changes where possible


Resolution:
<think>
PR Context:
- Title: refactor(connector): [Stripebilling] change Billing Connector Payment Sync url from charges to payment intents api
- Merged: 2025-05-02T12:12:23Z
- Files changed: 2 files
- Commits: 1 commits

Implementation approach:

## Type of Change
<!-- Put an `x` in the boxes that apply -->

- [ ] Bugfix
- [ ] New feature
- [ ] Enhancement
- [x] Refactoring
- [ ] Dependency updates
- [ ] Documentation
- [ ] CI/CD

## Description
This PR changes the url of billing connector payment sync flow from using stripe charge api to stripe payment intents api. Because in Recovery Flow there is a chance to call stripe's psync flow to update the error codes and other details for an attempt. And psync flow accepts paymen
</think>

To implement this, you'll need to modify:


**Detailed Implementation:**


**Commit 1:** refactor(connector): [Stripebilling] change Billing Connector Payment Sync url from charges to payme
Files to modify:


**crates/hyperswitch_connectors/src/connectors/stripebilling.rs**
  Modify existing code

**crates/hyperswitch_connectors/src/connectors/stripebilling/transformers.rs**
  Add:
    - struct: pub::StripebillingBillingConnectorPaymentSyncResponseData