Our 19-year-old full-time freshman college student (earns no income): Are we better off claiming him as dependent or not (i.e., he files his own return)?

We, his parents, have too high of a MAGI to get benefit from any education credits on our return (e.g., American Opportunity, or Lifetime Learning).  His college tuition & fees in TY21 was ~$30K.

 

Would we as a family get more tax credits (dependent, college expenses) if we his parents do or don't claim him as a dependent? If we don't, he'd file his own return, of course.  Which is the more prudent approach?

 

We received 1098-T, and had 1099Q withdrawals that were sent to us (his parents = Recipient).  His total costs of education (qualifying education expenses) > 1099Q withdrawals, to be clear.