Follow these instructions exactly. One wrong step triggers the black screen.
Go to Settings → Apps → The Dark Knight Rises → Uninstall.
Do not restore from backups. The old OBB data is corrupt for Android 11. the dark knight rises fix support for android 11 apk link
Cause: Conflict with a previous installation or Google Play Protect.
Fix: Disable Play Protect temporarily (Settings → Security → Play Protect → Turn off). Then retry with SAI. Follow these instructions exactly