Hey Hishe06,
Sure thing! So having just now checked my Win-11's update history I can tell there was two updates done on the same time. The one that u already mentioned, (KB5013943) , and (KB5013628), both successfully installed on 17/5. Those are my most recent updates and the gamebar has not crashed or 'gone dark' again. However, The next updates are already incoming, literally on my next restart of the machine (KB5013889 and KB5014019) so FINGERS CROSSED.........
I'm sry if neither of those updates can/could help you w this problem. Idk what else "solved" the bug for me, if not those.. I gave up years ago of trying to understand MS products and just try to always use them as long as possible without any new patches/updates cause u never know in advance what shenannigans will happen to those aspects most precious to you, hopefully nothing but if something then usually nothing good, lol