[TASK] Use new backend templating in ext:info

This is a straight inclusion of new backend templating
strategy for main "info" dispatcher controller
"InfoModuleController". We're doing only strictly
needed changes since this code construct will receive
a major overhaul soon.

Resolves: #96768
Related: #96730
Releases: main
Change-Id: I29bf10f1fcbda49ae0b2b99f7d4688f7fc4c036e
Reviewed-on: https://review.typo3.org/c/Packages/TYPO3.CMS/+/73331


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