[BUGFIX] Overlay workspace records in Live Search

[BUGFIX] Overlay workspace records in Live Search

The live search in the top right corner should detect and find
records of the current workspace.

A protected method which was unused is also removed.

Resolves: #36282
Releases: master, 9.5
Change-Id: I759e4f6dbd0c1676d9800d8319caf8b93ec0ecc5
Reviewed-on: https://review.typo3.org/c/Packages/TYPO3.CMS/+/60497
Tested-by: TYPO3com <noreply@typo3.com>
Tested-by: Riccardo De Contardi <erredeco@gmail.com>
Tested-by: Georg Ringer <georg.ringer@gmail.com>
Tested-by: Daniel Goerz <daniel.goerz@posteo.de>
Reviewed-by: Georg Ringer <georg.ringer@gmail.com>
Reviewed-by: Daniel Goerz <daniel.goerz@posteo.de>