Am I in the wrong here?

So, I have a bit of a dilemma...

I'm a 2nd year uni student studying software engineering, and currently, one of our modules is group work developing a project for a client outside of the university. I was paired in a group totaling 6 people (inclusive) which is larger than normal (most groups were 4), and we got our brief and got to work. Except... we didnt? Kinda?

The way the module is structured we have about 4 weeks, then sprint week - which is basically supposed to be a 9-5 job working on our project - then another 4 weeks, then another sprint week, then about a week till we have to hand in our final project. Right now, we're in the last phase.

From the beginning the professors had noticed a lack of teamwork in our group - they spoke to us about it many times. Me and one other person (aka A) were the people who were trying to organise group meetings, get everyone on the same page and working together etc. But the rest of our groups mates were disengaged - frequently missed meetings, arrived late, and just didnt communicate. We managed to get the planning done, but after that...

I didnt do any work in the 1st sprint, because everything I was supposted to do was dependant on the others - and some wordy stuff happened. We managed to pull it together, but nothing changed after. For the next two weeks it was literally me and A holding meetings which only us two came to, trying to talk to the others, it not working. After that I got so fed up, I basically did a them and disengaged from the group. I spent that time working on my other module. And when the time came for the 2nd sprint week, I came back - to see they'd gotten together in the 2 weeks i'd been gone and done all of the work without me. Most of our module mark is based off of coursework - so having done none, I'm probably gonna fail.

I know I deserve it but its so tiring. Being around them, trying to plan stuff and actually put in effort, and have it rebuffed again and again. I'm so sick of it and I don't want anything to do with them anymore. A already left the group - said he was fed up with them as well, and good for him, I hope he gets a good mark - and I wouldve left too, except all of the energy and interest I had at the beginning is gone, and now doing anything is like pulling teeth.

I've spoken to my course leaders about this, and they were like "you just have to do one thing, okay, then you'll be set" but I cant. I cant turn up to lessons/lectures, I cant text them, I can barely code anymore. Any mention of the project makes me want to throw up. I've cried so many times. I'm done with them.

Which would be fine, but, as I already said, I have nothing to show for this module. I've done no practical work, and I dont know what to do. It's too late to do or make anything now. I've given up and have resigned myself to redoing the module next year.

I left out a lot of info cause of the word limit, but my issue is this:

Am I in the wrong for disengaging with my group? I feel justified, but I havent actually done anything. I did most of the planning, but actual code? Basically nothing.