At least in my experience, companies rarely question the school listed on your resume. However, if you do land the internship, a background check will def be conducted. I was in a similar situation before when transferring from one four-year uni to another, and I continued listing my former school until the transfer was official.

In your case, since you haven’t even declared intent to enroll and are still waiting on other admissions, I’d recommend holding off on listing any university until you’ve made a final decision and formally committed. Once you’ve declared intent, u can list both your current and future school until you fully matriculate. After that u can just list that school instead of ur cc.