Looking at the DxDiag you attached it looks like there are some other programs crashing as well. I'm wondering if this is related to the crashes you're seeing in Apex Legends.
When you have a chance can you try starting up your PC in a Clean Boot to see if that helps at all? If there is something else running on your PC that might be related to these crashes this may help get around it.
For more info on how to set up a Clean Boot check out the EA Help website. Let me know if you're still running into any crashes after that. Thanks!