Give yourself time. All “injuries” are different, and may take varying amounts of time to heal. It may be that burning out multiple times has made that spot in your psyche a little more sensitive each time. So while you’ve addressed the problem, it may just need more care before you feel better.
Allow yourself the opportunity to sit in these feelings. Don’t try to push them away or distract yourself from them. You have to face them head on and learn from them. If you cover them up with something else, then you’re not really dealing with them. They simply get queued up for the next time, and next time will be worse.
As for the next two years, it feels like a lot, but it’ll be over before you know it. Good luck on your exams, btw! You’ve got this!!