try this
download official game. go inside until you play the game.
after that put the obb then go inside the game again until its done patching.
after that rename the obb then uninstall official apk then install mod apk.
backup including data folder? (SDcard/Android/data)
I tried your way on bluestack & Nox player, but both black screen ,too.
1) install official game,be sure game can run normally
2) put patch.main.bmt.com.YoStarEN.Arknights.obb into it ,run game again
3) rename obb folder, uninstall offical game
4) install mod apk, reboot simulator
5) clear cache in setting,then grant storage and overlay permission
what wrong in my steps?