Yes, you should amend and include the 1099-R even if it makes no changes to your taxes. The IRS will match forms.
However, there is no rush. The 1040X form will not be ready until mid-February. In the meantime, make no changes to your original return. This can really mess things up.
The IRS amend form is not ready until mid-February. When it's ready, check the link below for directions to amending your return.
If you have already filed your return, you must wait until the return is accepted/rejected.
If rejected, you can go ahead and add the 1099-R.
If you have already filed your
return and it is accepted, wait
until the original return is fully processed. If you had a refund/tax
payment due wait until you receive the refund or the payment is processed.
https://ttlc.intuit.com/questions/1894381-how-to-amend-change-or-correct-a-return-you-already-filed
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