[BUGFIX] Reset RteHtmlParser properly when configuration changes

Before this fix, only the first RTE processing configuration would be
taken into account when deciding which tags to keep in an HTML snippet.

RteHtmlParser is a DI service and as such is treated as a singleton.
Using multiple RTE processing configurations with potentially different
sets of allowed tags should work as expected.

Resolves: #101190
Releases: main, 12.4, 11.5
Change-Id: Ib0227872b542f53b30a16494aa2f979b8f601e07
Reviewed-on: https://review.typo3.org/c/Packages/TYPO3.CMS/+/80833


Reviewed-by: Stefan Bürk <stefan@buerk.tech>
Tested-by: Stefan Bürk <stefan@buerk.tech>
Tested-by: core-ci <typo3@b13.com>