You can amend your return and refile it without claiming your son if it is more beneficial for him to claim.
Although the Form 1040X will be available in TurboTax in early February 2020, I would recommend that you wait at least six weeks before you file the amended return by mail. This is because the IRS can take that long to completely process your original return.
Then, once they receive your amended return, it could take 16 weeks to process. Accordingly, I would advise your son to request an extension and not to file claiming the AOTC until around mid-July, assuming you file the amended return by Mid March.
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