The solution first, works for me, but others might have a different fix depending on their setup:
1. Make a new folder in system32>drivers (I named it backup)
2. Cut and paste all the .sys files, ignore the folders
3. If they need administrator permission to move, continue
4. If they ask for second permission, skip all files (try again won't change a thing)
5. Then try to play Apex. If it works, then there's a problem with the moved drivers. If it doesn't work, unfortunately, you might need to wait for another solution.
Now, if you're skeptical, it's understandable, moving something in sys32 without knowing what it is is dangerous. But, the drivers that actually needed are all filtered on the 4th step, so the moved drivers should all be unused (but somehow Apex is trying to read/execute them in the latest update)
I fine-tuned the method by slowly moving back all the drivers from the backup folder (playing Skyrim with mods, combing files like this is like necessity). For me, there's a driver called MFWCtwl.sys which is from Samsung Electronics (I don't have any Samsung). There are people with mtihint.sys and mticache.sys, or others with ABD_something.sys. You might have different problem drivers too.
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Thankfully you came back to check on this thread you made, even though there are a lot of people here already with their own problems.
Anyway, I searched for my problems and found out that you also have the same problems, hence why I'm here reading the thread.
I've also done the same troubleshooting as you did, but to no avail.
Funny enough, the solution @lasop123 worked for me.
Good luck.