Back in 2013 I posted a step-by-step guide on how to install Steam in PlayOnLinux and run Mirror's Edge. It was a lot of worked to get it setup. But today you can seriously just run it in Proton through Linux Steam.
Mirror's Edge runs great in Proton as it is a DirectX 9 game. I was able to crank all the settings to high and play without any bugs or crashes. The game saved and continued without issues either. This is great for us gamers because Proton handles everything from DirectX & Visual C+ installation to Physx setup.
Mint 19.3 64-bit
GeForce GTX 1060