This exact situation happened to my friend years ago. I want to say it took ~5 years to settle with the MTA. Maybe it was more like 4 years. They refused to provide the camera footage from the bus. If you are patient it’s worth it. Personal injury lawyers work on contingency so they’ll take 30% of your cut. Also helps if you have health insurance because a lawyer will want you to go to lots of follow up doctors appts.