I don't want to scare you, but seriously, do NOT just try to push through the burnout by yourself "until life lets up" and leave it at that - I tried that, and all that happened was a break-down, and afterwards not being able to work, period, for several months. My life back then was not sustainable for my body, and it told me through burnout as a last measure to get me to stop living like that.

In recovery, I've also met people who went farther than me (often medication-assisted) and did themselves literal organ damage - one lady had a nearly complete shut-down of the adrenal glands, another had a series of mini-strokes due to elevated blood pressure... it gets bad.

You say there are only two weeks to go, and I wish you the best to get there in one piece. Do try exercising, avoiding screens for two hours before bed, listen to an audiobook to fall asleep, try lavender tea or something, use all the tips.

But please know that afterwards it will not necessarily be over, the exhaustion may stay or come back easily, and you really, really need to reach out to a professional, your GP or psychiatrist and look into treatment options, not just coping options.

Wish you all the best!