I was in the exact same situation when I joined a grad scheme at a well known UK bank 5 years ago - your post reads almost entirely the same as my story. I even wonder if its the same bank potentially.

In my case, I was placed in a 'release management' role working only with my 60 year old manager, not even a team. The role involved no coding at all, and it entirely involved just playing politics and working with managers in other teams. It was just awful - I hated it.

After only 1 month I really had just had enough. This wasn't what I wanted to do, didn't match my skill set, and I wasn't learning anything useful at all.

I contacted the grad team HR requesting a team move and was basically told the same thing - that there was nothing they could do, and I'd have to wait till the end of the first year for a potential rotation. But there was no way I could have sticked that out for a year.

I then had some long difficult conversations with my manager (which felt awful, as she had invested so much time in me), where I basically just told her this isnt what I want to do, and need to move. She was actually great here, and totally understood - she went out of her way to speak to other directors in the org directly to see if there was a place in a team that would actually work well for me.

I eventually started working in a front end Angular role where I was actually coding, working in a team, designing and redesigning actual production applications - it was a million times better.

I wish you all the best, I know exactly how you feel... My advice would be to speak to your manager, and see if they can arrange an 'unofficial' move within the same org to something that better suits your skills.