feat(router): Include `payment_experience` in PML for payments response (v2)

Required by SDK
<think>
PR Context:
- Title: feat(router): Return payment_experience in PML for payment (v2)
- Merged: 2025-06-05T16:40:31Z
- Files changed: 3 files
- Commits: 1 commits

Implementation approach:
## Type of Change
<!-- Put an `x` in the boxes that apply -->

- [ ] Bugfix
- [x] New feature
- [ ] Enhancement
- [ ] Refactoring
- [ ] Dependency updates
- [ ] Documentation
- [ ] CI/CD

## Description
<!-- Describe your changes in detail -->
Added `payment_experience` in Payment Method List for Payments Response

### Additional Changes

- [x] This PR modifies the API contract
- [ ] This PR modifies the database schema
- [ ] This PR modifies application configuration/environm
</think>

To implement this, you'll need to modify:


**Detailed Implementation:**


**Commit 1:** feat(router): Return payment_experience in PML for payment (v2) (#8255)
Files to modify:


**crates/api_models/src/payments.rs**
  Modify existing code

**crates/router/src/core/payments/payment_methods.rs**
  Modify existing code
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