Put in the wrong college

I attend two colleges that fall in the same district, offer same classes with same units. The thing is, on my unofficial transcript, it didn’t differentiate between the two colleges so I ended up putting wrong college for 3 classes taken during spring 2017 and 1 over summer 2017.
I contacted the UC transfer help center and they told me to write down the situation in additional comments on my TAU which I’ve already done. I’ll also send the transcripts to the docs email before the TAU deadline in which I’ll explain my situtation. My question is if this is going to cause a major problem.
My counselors told me that I should be fine since the official transcript sent to the UCs will have coursework from both colleges ( since they are in the same district ) but I can’t trust them since I asked them to double check my application for mistakes ( I know it’s my fault but still ). Any insight?

Completely forgot to mention that the class name and grades reported in my application are accurate. It’s just that it’s listed under the wrong college.

I think it’s fine. Many CCCs do this which is confusing. You noted the mistake.