Dyeing a Polyester Felt Plush with Airbrush?

I have a plush I want to dye from grey to pink. Its made out of Polyester felt and I don't have the time to cut and resew it, plus its large so I won't be able to dye it in a stove top pot. I'm also worried about the drying/heat setting process so I was looking into alternatives and saw some folks talking about airbrushing using fabric paints (made for airbrush ofc). I was curious if it would be possible to airbrush polyester felt without ruining it, and how I would go about the drying/curing process. If I airbrush it, do I need to apply heat with an iron/hot steam/dryer/drying machine? Do I need to wash after airbrushing to avoid bleeding with this type of fabric? I figure I could stick it in the dryer but also don't wanna mess up my dryer and get paint all over it (shared washer & dryer) 😅

Super hard time finding info on this w/this particular fabric and hoping someone can help me out or maybe has some experience doing something along these lines.

This specifically was the one I was looking at but I'm open to suggestions:

U.S. Art Supply Ready to Spray Pure Pink Opaque Airbrush Paint - 8oz Bottle, Professional Grade Non-Toxic Water-Based Colors for Vibrant & Permanent Results https://a.co/d/dRD3XBT