[F2V] Migrate new file menu to new API

[juliusknorr]

• [x] Check logged in file handling
• [ ] New file menu for public share links
• [ ] Bring back the tests skipped in #4014 once the server template API is working for public share links

[juliusknorr]

For 28 internal menu is handled by the template creation, public pages are not migrated to vue yet

[juliusknorr]

Some progress in https://github.com/nextcloud/server/pull/45652 probably targetting 31