Have you spoken to https://www.citizensadvice.org.uk/ you should be able to get some help and advocacy. And they will help you find accomodation and apply for the benefits you are entitled to.
If you can get a proper diagnosis you can also claim PIP for more support: https://www.benefitsandwork.co.uk/personal-independence-paym...
You're obviously smart and probably present as high functioning to someone working in the job centre who is not motivated to help you and frankly anything they give you, you will be massively underemployed.
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I will say something feels off with the project itself just by looking at the stats.
Obviously an LLM is doing the heavy lifting to write 1.3m lines in 4 months, but 3,900+ tests seems an order of magnitude too small to me.
What LLM are you using to generate this much code? Priority 1 right now is to get accomodation, not pay for expensive LLM API costs or subscriptions!
Best of luck!