[TASK] Use ResourceMutex in TSFE for locking

Class ResourceMutex is codewise identical to
acquireLock() in TypoScriptFrontendController.
Use it.

Resolves: #98984
Releases: main
Change-Id: Iad779a771b8608d527ddb223550126f474b573a2
Reviewed-on: https://review.typo3.org/c/Packages/TYPO3.CMS/+/76391


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