[BUGFIX] Delay error handler registration

The ErrorHandler is not be fully configured (missing logger) by the
time the object is constructed, but the error handler is registered
at that point. As errors may happen during construction of dependencies
(again the logger) of the ErrorHandler, the error handler registration
needs to be delayed in order to avoid usage of the error handler while
dependencies are still being created. This may happen in case an
exception occurs during creation of the ErrorHandler's logger instances.

Resolves: #93279
Releases: master, 10.4, 9.5
Change-Id: I0ded490c35e61120e055f853accb10e16080ea1a
Reviewed-on: https://review.typo3.org/c/Packages/TYPO3.CMS/+/67440


Tested-by: core-ci <typo3@b13.com>
Tested-by: Benni Mack <benni@typo3.org>
Tested-by: Anja Leichsenring <aleichsenring@ab-softlab.de>
Reviewed-by: Benni Mack <benni@typo3.org>
Reviewed-by: Anja Leichsenring <aleichsenring@ab-softlab.de>