Client Failed an anti-cheat runtime integrity Check: Connection timed out

Sooo, I encountered the same problem a few days ago and stumbled over this thread....
I read through all your guys messages and sadly found no solution.
So I tried myself... 

Instead of deleting anything, I simply went to the games directory and opened the EasyAntiCheat folder

D:\Program Files (x86)\Origin Games\Apex\EasyAntiCheat

I have it via EA Play (Origin) idk if that matters

I just ran the Setup in that folder and it led me through a repair setup where I could select Apex

Also I simply checked the game files integrity 

It´s fixxed... 
I hope for all of you, that you will manage to fix your game, or EA will 😠