Do I have to wait until after my scheduled payment time-file a 1040X?

Hello, I have both federal and state local tax payments scheduled for April 1. I discovered I accidentally put I did not receive an HSA distribution when I did (for qualified medical expenses, will not owe more money). Once the PA40-X becomes available on TurboTax (hoping today) I can file my amendments. I called a TurboTax specialist (Eric, 30 years as a CPA) and he said I did not have to wait to make my amendment until after my scheduled payments. However, I see people in the discussions saying otherwise. Can someone please confirm? I just want to file my amendment and move on with my life. I’m really worried about the consequences of not correcting this error.