Remove unnecessary ReactNoCrashBridgeNotAllowedSoftException (#52987)

Summary:
Pull Request resolved: https://github.com/facebook/react-native/pull/52987

This class is unnecessary. Is also public for no real reason.
Instead we should use `ReactNoCrashSoftException` directly.

I'm not marking this as breaking as users hsould not be catching this class.

Changelog:
[Internal] [Changed] -

Reviewed By: mdvacca

Differential Revision: D79451567

fbshipit-source-id: 4d6f45b3006c79969fcf141002d34a72bf88901a