Amending prior year to get education tax credit for a college student

If I amend for prior year 2022, can I change dependent status for my college age child (i.e. remove him as dependent from my return)? Then we would like to amend his return for 2022 and since he is no longer claimed as dependent, he should get a bigger refund because he would get the full amount of American Opportunity Tax credit on his amended return. If we do this, is order important, i.e. first file amended parent return, and then file amended student return? Should there be any wait time in between these filings? Also, does this seem to be too drastic of an amendment?