**Summary**
Fixes content-mode edit permissions so editor-only users can perform
allowed content workflows without backend “build permission” failures.
**Changes**
- Added shared content-mode permission validation used by backend
authorization.
- Aligned content-mode capabilities around editable props, editable
instances, content roots, pages, assets, and template insertion.
- Allowed content-safe instance/text/page/template/style changes while
keeping design/data/resource changes build-only.
- Updated template insertion to preserve content-safe local styles and
reuse tokens by id.
- Added accessible `SyncStatusDot` for e2e-visible sync state without
replacing the existing sync status UI.
- Added builder e2e setup with Postgres/PostgREST and a first
content-mode browser test:
- edit existing text as an editor-only user
- wait for saved state via the sync status dot
- reload and verify persistence
**Verification**
- `pnpm --filter=@webstudio-is/builder test -- sync-status.test.tsx`
- `pnpm --filter=@webstudio-is/builder typecheck`
- `git diff --check`
- `pnpm e2e:builder`