Issue:
ci(cypress): fix `archipel` cypress test cases

## Type of Change
<!-- Put an `x` in the boxes that apply -->

- [ ] Bugfix
- [ ] New feature
- [x] Enhancement
- [ ] Refactoring
- [ ] Dependency updates
- [ ] Documentation
- [x] CI/CD

## Description
<!-- Describe your changes in detail -->
Enhancements for `archipel` Cypress Tests.

### 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`
2. `crates/router/src/configs`
3. `loadtest/config`
-->


## Motivation and Context
<!--
Why is this change required? What problem does it solve?
If it fixes an open issue, please link to the issue here.

If you don't have an issue, we'd recommend starting with one first so the PR
can focus on the implementation (unless it is an obvious bug or documentation fix
that will have little conversation).
-->
`archipel` Cypress Tests were failing.

## How did you test it?
<!--
Did you write an integration/unit/API test to verify the code changes?
Or did you test this change manually (provide relevant screenshots)?
-->

<!-- img width="720" alt="image" src="https://github.com/user-attachments/assets/23559711-59e2-41d7-8fb4-1572e524fc49" /-->

<img width="726" height="962" alt="image" src="https://github.com/user-attachments/assets/ee72bc01-69a1-4afb-ac76-8c3edec1c124" />

_PS: There is an issue with Incremental Auth, not anything related to the configs, but the spec itself, addressing it in another PR because that would affect 1 other connector as well, and after it is fixed, it would affect 3 connectors in total._


## Checklist
<!-- Put an `x` in the boxes that apply -->

- [ ] I formatted the code `cargo +nightly fmt --all`
- [ ] I addressed lints thrown by `cargo clippy`
- [ ] I reviewed the submitted code
- [ ] I added unit tests for my changes where possible


Resolution:
<think>
PR Context:
- Title: refactor(cypress): update skip logic and test flow for cypress incremental auth tests
- Merged: 2025-07-11T02:04:29Z
- Files changed: 4 files
- Commits: 11 commits

Implementation approach:
## Type of Change
<!-- Put an `x` in the boxes that apply -->

- [x] Bugfix
- [ ] New feature
- [x] Enhancement
- [x] Refactoring
- [ ] Dependency updates
- [ ] Documentation
- [x] CI/CD

## Description
<!-- Describe your changes in detail -->

This PR introduces a set of improvements and refactors in the Cypress test suite specifically for **Incremental Authorization** test cases.

---

### ✅ Key Changes:

1. **Connector Inclusion List for Incremental Auth**

   * Introduc
</think>

To implement this, you'll need to modify:


(No detailed commit information available)