hi,
I'm really sorry things are so difficult right now. I know how hard it can be seeking help, please consider talking to someone you trust and see if you can see a therapist to talk to about mental health stuff other than your ed and maybe to try medication for anxiety/depression, and then if you feel comfortable with them you can consider bringing up food struggles? ed's are so isolating and hard to get help for, but try to remind yourselves of the alternatives - missing out on uni, not having energy to do what you love. losing your identity, anxiety and depression worsening, etc.
I've also struggled a lot with not having a friendship group. Honestly what I've learned is that most people are unwilling to initiate plans, but happy to be invited. At least for me it's so much easier for mh to spiral when I'm alone, so maybe try asking a friend to coffee or to study once or twice a week, even if it's someone you don't know really well, a lot of people are much less intimidating in a 1 to 1 or small group setting and if you have a lab partner or a friend you sit with in a class you probably have enough common ground to do something together. Remind yourself there's nothing wrong with you for not having found your people yet, so many people I know who were quite shy and lonely have started uni and now have great groups of friends.
The most important thing is finding a reason to get up every day, I feel like the most helpful way to counter the ed mindset is finding a different purpose, whether that's working towards a career, or sucess in sports (it's impossible to do your best when you're not eating well), or volunteering somewhere. Yes give yourself grace, but force yourself to go through the motions because depression makes you want to do nothing, but the more nothing you do the more unhappy you become.
Anyways, sorry for this massive essay, I just want you to know there is hope. I thought I'd never recover, and now I have bad mh days maybe 1 day a month. I hope things get better for you, and if you want an online friend to chat with about random things, I'm starting uni in the fall and also love running and fashion so feel free to msg me xx