If I file my 2022 1040 for the first time tomorrow, do I have 3 years to file an amended return?

Yes, That is correct. 

"Generally, to claim a refund, you must file an amended return within 3 years after the date you filed your original return or 2 years after the date you paid the tax, whichever is later. If you filed early, count from the April tax deadline."

See the IRS post File an amended return

Thank you very much!!!