Power outage while using Migration Assistant

I was 18 hours into migrating my data from an old iMac to a new M2 MacMini when the power went off with only 3 hours remaining!. This forum was of no help and likely gave out very bad information costing other people with a similar situation hours of grief. I contacted apple support and was given instructions to start the Migration Assistant on both machines again. When they are both started and the New machine is in the "calculation screen" (the first screen) to press the"continue" button at the bottom right of the screen and the next screen to leave at the default chosen option (blue button-top option) which says to delete....and then press the "continue" button again. The next screen shows the two "user" names. The old machine is at the top of the list and the new machine is the second in the list. Choose the old machine/user name. It asks for a password for the old machine. Enter the password and press the "continue' button at the bottom right hand of the screen. That should take you to the final screen where the "Transferring Your Information" shows a picture of your old machine on the left with an arrow towards your new machine on the right. There is a status bar under that with movement showing "Transferring documents from the user "first machine"... After a few minutes, the "Transferred ####'s files" shows below the status bar (in motion). I don' know yet if it is starting over or if it is picking up where it left off.