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The issue is that the SSN (or ITIN) must be issued prior to the due date of the tax return to be eligible for the CTC or Other Dependent Credit. 

So for 2022, you can certainly amend and file Joint as well as claim your child; however, you cannot claim the tax credits (and so it might be easier just to leave the child off the 2022 tax return) since the SS card was issued after April 17, 2023. 

Filing Joint is going to get you money back, so might as well amend for that part.