LSE Re-sits

Hey, I am also an LSE retake student so I was in the same boat as you. I missed my finance offer for 2023 entry by one grade. I was ballsy enough to re-apply this year to accounting and finance and have been made a conditional offer, ie just need an A. I think there is still sufficient time for you to salvage at least one or two As in your exams, I am assuming your offer is AAA. Because to get into LSE again with a resit, your grades CANNOT be that terrible in the first place, ie Bs as a minimum.
After your exams, submit your extenuating circumstances to LSE, and if you miss your offer on results day, give them a ring. They might be sympathetic and let you keep your offer for the year after provided you resit and achieve your grades. Some people I know did this and kept their offers. My one regret was not doing this and hence I had to go through the stress of reapplying and anxiously waiting for my offers. I also had extenuating circumstances, which I used to support my application for 2024. You would already have a good personal statement as you have an offer so maybe during your year out, bolster it with new or relevant events, ie in my accounting and finance PS, all I did was change a finance paragraph to accounting and that was it. Just 30 mins work haha.
All in all, just work as hard as you can for your exams this summer. I don't know how severe your mental health circumstances so apologies for any unintended insensitivity. But you are responsible for your future and only you can rise to your challenges in life. Sh*t happens sometimes but it is important that we try and overcome it - that is simply just life. You will be more than fine, just have faith in yourself and go and get that LSE offer you rightly deserve. Don't give up and think about resitting when the exams are still 6 weeks away!
DM me if you need any more advice, always happy to help.