Okay - I’m a manager at a FAANG.

Most of the immigration issues we deal with are handled by HE or a company we outsource to - I have some direct involvement in terms of writing out roles and duties, but generally they keep us away from the actual mechanics of things. However, for us, it’s handled at the company level. I know that they’ve tightened up on the perm residency and H1Bs, but I think it’s something your employer should be solving, not you.

Second, things are tough all over these days, but the gaming industry as an industry has always had a terrible reputation for long hours and (comparatively) low pay. The attitude seems to be to get in younger people and burn them out. I’m very sympathetic to your desire to make a move.

The best thing you can do is find someone who can write you a recommendation for an open position at their company, but as you know you’ll have to take your immigration status into account. All of the companies I’m familiar with don’t take immigration status into account when hiring - it’s specifically forbidden by policy - but if you have to grit your teeth and deal with your current position for another six months or whatever, it’s probably better than starting from scratch.