[TASK] Prepare FormEngine towards DI

It is possible to prepare FormEngine
towards proper dependency injection with
a relatively small patch, including good
compatibility for extensions with v11 & v12
and upwards compatibility with v12 & v13.

With TYPO3 v13, we can adapt own uses
and leverage the full power of DI.

Resolves: #100670
Related: #100581
Releases: main
Change-Id: I4cd223a7993386f2e1393ef7982530d98a9932c4
Reviewed-on: https://review.typo3.org/c/Packages/TYPO3.CMS/+/78729


Reviewed-by: Stefan Bürk <stefan@buerk.tech>
Tested-by: Anja Leichsenring <aleichsenring@ab-softlab.de>
Reviewed-by: Anja Leichsenring <aleichsenring@ab-softlab.de>
Tested-by: Stefan Bürk <stefan@buerk.tech>
Tested-by: Christian Kuhn <lolli@schwarzbu.ch>
Tested-by: core-ci <typo3@b13.com>
Reviewed-by: Christian Kuhn <lolli@schwarzbu.ch>