You can claim your child who is a student until they are 24 or graduate from college and it doesn’t matter how much they make. It used to be more of a benefit, but now only $500 credit to have a dependent who is over 17 (no child credit). You do have to claim them for YOU to take the AOTC.
Your student would file his own tax return for the $11k income, and it should all be under the limit for the standard deduction ($12.4K this year? maybe $12.6?). That would depend if there was other income like taxable scholarships some other non-earned income.