[TASK] Avoid last usage of BU::getFuncMenu() and deprecate

With more and more refactoring of the backend controllers
and improving controller/view separation, usages of old
BackendUtility menu rendering helper methods are shrinking.

The patch refactors a last usage of BackendUtility::getFuncMenu()
and deprecates the method.

Resolves: #99519
Releases: main
Change-Id: Ibeb8db7a5b6835200f9e80c776ac606103b11e1d
Reviewed-on: https://review.typo3.org/c/Packages/TYPO3.CMS/+/77331


Reviewed-by: Stefan Bürk <stefan@buerk.tech>
Tested-by: Benni Mack <benni@typo3.org>
Reviewed-by: Benni Mack <benni@typo3.org>
Tested-by: core-ci <typo3@b13.com>
Tested-by: Christian Kuhn <lolli@schwarzbu.ch>
Tested-by: Stefan Bürk <stefan@buerk.tech>
Reviewed-by: Christian Kuhn <lolli@schwarzbu.ch>