You could try jamming a small teaspoon on the edge still inside the stick socket and rim around the base of the stick until it pops back in.

The plastic will most likely deform on the dome at the base of the stick and scrape, still it will work until you buy replacement sticks.

It’s an easy swap, careful to not strip the back shell screws, to not mangle the shell using a bitter knife to pry it open, and to not overtighten the stick module screws.