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.

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1. `config`
2. `crates/router/src/configs`
3. `loadtest/config`
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## Motivation and Context
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Why is this change required? What problem does it solve?
If it fixes an open issue, please link to the issue here.

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`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)?
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<!-- 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

<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)
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