[TASK] Use more DI in FE RequestHandler

Runtime static `FilePathSanitizer` and stateless
`TypoScriptService` can be injected in ext:frontend
`RequestHandler`. Also, the `ServiceProvider` entry
is useless since the class implements
`RequestHandlerInterface`, which sets those classes
public.

Change-Id: Ia7469d8e4d4f940871c4856d4782d53b70e4cee4
Resolves: #101375
Releases: main
Reviewed-on: https://review.typo3.org/c/Packages/TYPO3.CMS/+/80076


Reviewed-by: Christian Kuhn <lolli@schwarzbu.ch>
Tested-by: Stefan B�rk <stefan@buerk.tech>
Reviewed-by: Benjamin Franzke <ben@bnf.dev>
Tested-by: core-ci <typo3@b13.com>
Tested-by: Christian Kuhn <lolli@schwarzbu.ch>
Tested-by: Benjamin Franzke <ben@bnf.dev>
Reviewed-by: Stefan B�rk <stefan@buerk.tech>