I find it highly unusual for parents not allowing AN ADULT to move out. I literally can’t think of such thing happening and I know a lot of people. I know in some cultures women don’t move out until married but this is US and you don’t seem to be in very religious traditional culture

I think they are doing it because they don’t think you can manage on your own. They aren’t doing it because they enjoy having you around (otherwise they’d like to listen to you more). Is there any way to show them a plan on how you’ll be managing on your own?