sadly i am having same issue however there wasn't any issue before update ( today i try to enter game and EA launcher gave me a small update ) after Alter update there were no issue for login
this problem started when EA launcher didn't recognize me, asked ID and passwords out of blue ofc i typed down then got an update then the problem started the issue down below in the screenshot error 20006 ( 1058 ) anticheat service didn't start or wont but there was no problem before update whoever or what was the update idk i hope this mistake solved asap
Edit: i manage to make it work after hours by chance.
there is a guy who explains for epic game launcher in a video credit belong to him ( lightning.tutorials)
here is the steps
1. go to the file location in our case C:\Program Files (x86)\Origin Games\Apex\EasyAntiCheat
2. create a shortcut for EasyAntiCheat_EOS_Setup put in the folder
3. right click on EasyAntiCheat_EOS_Setup - Shortcut " Properties " > Target
4. in Target box add " repair " end of the line ( ...yAntiCheat_EOS_Setup.exe" repair)
5. double click on it and wait for a small black screen to success