[BUGFIX] Add cache property to MenuProcessor

Resolves: #98985
Releases: main, 11.5
Change-Id: Id886584f8fa57b30f54257d79a6eca4465906a86
Reviewed-on: https://review.typo3.org/c/Packages/TYPO3.CMS/+/78576


Reviewed-by: Oliver Bartsch <bo@cedev.de>
Tested-by: core-ci <typo3@b13.com>
Tested-by: Oliver Bartsch <bo@cedev.de>