A trip to citizens advice would be a good idea. I would imagine you would be entitled to ESA (employment support allowance). I get that, but I work part time too which tops it up. I also get DSA, but I'm not sure if you can still claim that as I think people are being moved over to PIP. I'm not so sure how PIP works, but you could well be entitled to that too. CAB should be able to tell you what you're entitled to, and can also help you with the application.
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