I had the same problem, crash to desktop just after starting the mission.
However, I was able to fix the problem and get past the crash.
I have an Intel 9900k with 32GB and an RTX 2080Ti FE and a 5120x1440 ultra widescreen monitor. I have all the graphics settings maxed out, and I've been playing on a borderless window with HDR enabled. This hasn't been a problem on any of the other missions or game modes until the Yavin mission.
Here is what worked for me: I switched to Full Screen mode and lowered my resolution. I found that when I reduced by resolution to 2560x1440 (keeping all other settings at max), I was able to load and play the Yavin mission. Just as an experiment, I changed back to 5120x1440 in the middle of the mission (in case the bug was only related to the start of the mission) and the moment I changed, instant crash to desktop.
After the Yavin mission, I switched my resolution back to what it was (5120x1440 borderless window) and everything is great again.
My guess is that there's a bug in the Yavin mission that causes the game to attempt to use much more RAM than it needs (my video card has 11GB of RAM, enough to play just about every game made today at Ultra) and that's causing the crash.
So, you might be able to make it through the mission by lowering your resolution or graphics settings (texture resolution? SSAO? Shadows? Not sure..) and playing through.
The good news is that it only seems to be this mission with the problem, so you can restore your settings after you get past it (or after EA fixes the bug...)
Good luck!
Mine crashes every time after the yavin mission
