If not deported detain them. You have no right to walk freely around the usa while you wait to have your fraudulent asylum claim processed. Give them the option to leave voluntarily without prejudice. Make a deal with Mexico or another third country toi have them. Instate a wait in Alaska policy. There are a million things that can be done now when Biden is out of the way.
Declare Vance to be the new border czar. He could make the title meaningful. It is one of his issues.