chore: create watch job for browser

Closes #501

See merge request !2817



Merged-by: Juhee Lee <julee@gitlab.com>
Approved-by: Tristan Read <tread@gitlab.com>
Reviewed-by: Tristan Read <tread@gitlab.com>
Reviewed-by: GitLab Duo <gitlab-duo@gitlab.com>

fix: upgrade @gitlab/gitlab-lsp to 8.5.2

See merge request !2824



Merged-by: Tristan Read <tread@gitlab.com>

## **release**  [6.38.1](v6.38.0...v6.38.1) (2025-08-18)

### Bug Fixes

* upgrade @gitlab/gitlab-lsp to 8.5.2 ([05342b42](05342b42))