- Update TemplateManage save flows to use the current in-memory template list instead of stale localStorage as the source of truth.
- Merge current templates back into the compatibility cache so newly created backend templates are not dropped on content save.
- Add an accessible label for the new-template button to support reliable E2E coverage.
- Add template list merge unit tests covering stale-cache replacement and newly created templates.
- Add Playwright coverage for creating a template, saving template content, and confirming it remains visible and persisted.
- Update feature, progress, testing, and AGENTS documentation for the template management fix.
