I would take well-known out of the lab.
To me, the paid job would be more valuable, similar to scooping ice cream at baskin robins or picking up carys from the grocery store parking lot.
This is a summer job. The unpaid role is not a job and will cost you money for housing - it’s not why you’ll get into a specific college.
To me, if it benefits her to see a career, I think it’s great.
But otherwise, while it’s fine, I think a paid summer job of anything is as beneficial, if not moreso as it will pay.
Working for free and paying for an air bnb in hopes that your student will get into a selective school seems money wasted to me. Getting strong grades in rigorous classes, a strong test score and being involved overall is enough. The unpaid role won’t impact admission in my opinion more than any other activity. And duties / responsibility matter more than name.
Best of luck