Issue:
[BUG]: [TSYS] Payments Failing Across All Flows

### Feature Description/Summary

TSYS (Total System Services) is a global payment processing platform that provides payment gateway services for merchants, payment facilitators, and acquirers. It enables businesses to accept credit and debit card payments securely across multiple channels (e-commerce, in-store, mobile, etc.). The gateway facilitates authorization, capture, settlement, and reporting while ensuring compliance with industry security standards such as PCI DSS.

### Context
While attempting to process payments across all available flows using the TSYS gateway, we are consistently running into the following error response from their API in our current Hyperswitch integration:

```
SaleResponse(ErrorResponse(TsysErrorResponse { status: Fail, response_code: "F9901", response_message: "Invalid content was found starting with element 'orderNumber'. One of '{paymentFacilitatorIdentifier, paymentFacilitatorName, subMerchantIdentifier, subMerchantName, subMerchantCountryCode, subMerchantStateCode, subMerchantCity, subMerchantPostalCode, subMerchantEmailID, subMerchantPhone, isRecurring, isoIdentifier, registeredUserIndicator, laneID, authorizationIndicator, splitTenderPayment, splitTenderID, customerDetails, industryType, merchantCategoryCode, customFieldDetails, IVRMid, IVRVnumber, recipientDetails, acquirerInternalReferenceNumber, acceptorStreetAddress, serviceLocationCity, serviceLocationGeoCoordinates, skipDuplicateCheck}' is expected., " }))
```

### Starter Tasks

- Go ahead to the connector documentation and attempt to hit the connector's direct cURLs and make a happy case.
- Identify the current integration issue in Hyperswitch by comparing the connector's request body and make relevant changes in the Hyperswitch codebase.

### Implementation Hints

- You can go to `crates/hyperswitch_connectors/src/connectors/tsys.rs` and `crates/hyperswitch_connectors/src/connectors/tsys/transformers.rs` and make relevant changes according to what's gone in the current integration. 
- Head to this documentation to get some clarity about the request and response schemas : [URL](https://www.google.com/url?q=https://developerportal.transit-pass.com/developerportal/resources/dist/%23/api-specs/.%252Fassets%252Fbuild%252Fapi%252FAPI3.0%252FCreditServices%252FAuth%252Findex.html%2523auth&sa=D&source=editors&ust=1757917256458963&usg=AOvVaw0Yt5vvn4-D6Z0T09ock1aK)

### Acceptance Criteria

- [ ] Request and Response body added for each of the flows where integrity check is applied.
- [ ] All the required GitHub checks passing
- [ ] Formatted the code using `cargo +nightly fmt --all`

### How to Test it 

- Create a Merchant Account in local
- Create an API Key
- Add the connector - Tsys
- Test out the flows

### Mentor Contact

- Tag @bsayak03 [Sayak Bhattacharya] in the comments if you have any doubts/queries

### Resources 

Here is the connector documentation link : [URL](https://www.google.com/url?q=https://developerportal.transit-pass.com/developerportal/resources/dist/%23/api-specs/.%252Fassets%252Fbuild%252Fapi%252FAPI3.0%252FCreditServices%252FAuth%252Findex.html%2523auth&sa=D&source=editors&ust=1757917256458963&usg=AOvVaw0Yt5vvn4-D6Z0T09ock1aK)

### Pre-Flight

#### Have you spent some time checking if this feature request has been raised before?

- [x] I checked and didn't find a similar issue

#### Have you read the Contributing Guidelines?

- [x] I have read the [Contributing Guidelines](https://github.com/juspay/hyperswitch/blob/main/docs/CONTRIBUTING.md)

### Submission Process:
- Ask the maintainers for assignment of the issue, you can request for assignment by commenting on the issue itself.
- Once assigned, submit a pull request (PR).
- Maintainers will review and provide feedback, if any. 
- Maintainers can unassign issues due to inactivity, [read more here](https://github.com/juspay/hyperswitch/wiki/Hacktoberfest-Contribution-Rules).

Refer [here](https://github.com/juspay/hyperswitch/blob/main/docs/TERMS_OF_CONTEST.md) for Terms and conditions for the contest.

Resolution:
<think>
PR Context:
- Title: fix(connectors): [TSYS] change order of order_number in tsys auth request body
- Merged: 2025-10-08T15:39:41Z
- Files changed: 1 files
- Commits: 2 commits

Implementation approach:
## Type of Change
<!-- Put an `x` in the boxes that apply -->

- [x] Bugfix
- [ ] New feature
- [ ] Enhancement
- [ ] Refactoring
- [ ] Dependency updates
- [ ] Documentation
- [ ] CI/CD

## Description
This PR fixes the request body order of the TSYS contract for the auth request


### Additional Changes

- [ ] This PR modifies the API contract
- [ ] This PR modifies the database schema
- [ ] This PR modifies application configuration/environment variables

<!--
Provide li
</think>

To implement this, you'll need to modify:


**Detailed Implementation:**


**Commit 1:** fix(connectors): [TSYS] change order of order_number in tsys auth request body (#9579)
Files to modify:


**crates/hyperswitch_connectors/src/connectors/tsys/transformers.rs**
  Modify existing code