I see there’s 5k cameras, but it feels superfluous since mostly everything is 4K. Plus, unsure what device would be suggested for an amateur taking pictures and sometimes video of my nephews baseball games. He’s pitching if that has anything to do with the megapixels for videos and hoping to keep the price around $100-$150?
If there is still a camera shop near you, It might be worth seeing what used gear they have. The one near me has cheap kit lenses, look for a used telephoto lens and a DSLR camera body. You can take fine pictures with old gear, you’re not looking to be on Sports Illustrated. YouTube has plenty of instructional videos for every make and model of camera. More knowledge will get you better results than top of the line gear.
Edit: I just looked at the used gear at B&H website, you can find a body and lens there for $200