supabase / supabase / 29994631718 / 1 – studio-tests

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feat(www): new changelog sync (#47880)

## What kind of change does this PR introduce?

Sync changelog from private supabase/changelog.


<!-- This is an auto-generated comment: release notes by coderabbit.ai
-->
## Summary by CodeRabbit

* **New Features**
  * Changelog entries now come from the structured changelog repository.
* Added filters for change type, product stage, and self-hosted impact.
* Updated badge UI for affected products and change types with filter
links.
* Changelog detail sidebar now shows lifecycle stage, sunset dates, and
self-hosted impact (when available).

* **Improvements**
  * Product category discovery and filtering now use affected products.
  * Discussion links show only when legacy discussion data is present.
* RSS feeds and generated changelog markdown now use the updated
metadata.
<!-- end of auto-generated comment: release notes by coderabbit.ai -->

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