Shotgun Recommendations for Multiple Uses

[u/Worst_Engineer69]

Got into a gun club and I want to get into Trap & Skeet Shooting, but I also want to be able to go hunting once I'm comfortable with my shots. I can not decide between an over-under, a pump-action, or a semi-auto. I'm new to this and have a budget of $2000, $2500 max.

Is it possible to do these different disciplines with one shotgun? Or should I choose between range shooting and hunting, then buy a different one down the road?

Hoping to get some recommendations for this; not sure if I'm being too vague. Feel free to ask me some questions if needed! Thank you in advance.