We applied for a student visa for my daughter to study in Italy. Among other things, we gave them copies of her tickets home. Her flight home is on 31st December 2022. We have only now looked carefully at the visa and see it expires on 16th of December. We have tickets to fly to visit her on 19th December. We plan to all fly home together on 31st of December. We are all US citizens and home is USA. If she leaves with us on 31st, two weeks after visa expires, will she have a big problem leaving? What if she wants to visit Italy again to travel or study? If in the future she applied for another student visa or even a work permit in Italy, would a two week overstay cause her a big problem? If she were to want to travel to Italy again, it would not be for nine months or more.
Would going to London for a couple of days then coming back to Italy help?
I've looked at a few other questions and answers and do not see exactly this situation.