Many years (actually decades) ago a girl said to me "you just have to fuck with the dick you were born with"! hahaha
Sort of...kind of...maybe not really like saying shoot clays with the shotgun you can afford/have.
Yes, the Mossberg Turkish guns will not hold up to competitive...or even very enthusiastic...clay target shooting. But its a start and you don't even yet know that you will like the sport. So, shoot it and if you get the clay target bug, you will be upgrading.
If you just do occasional upland bird hunting, a Turkish gun will serve you well but again...if you get enthusiastic about it you will upgrade.
Run your Mossberg, see if you really love SC/skeet/trap/whatever and then, if so, you can decide if you want to invest the substantial amount for a better quality OU.
Top quality OU (and even autos these days) are very expensive and most people who are just starting in a clay target game would balk at the cost of a Perazzi, Krieghoff, even good Berettas...all of which are very pricey.
I'm in Maryland also. I do shoot out of the Damascus IWL. Are you anywhere near there at all? If so, I would be glad to meet you and let you shoot my K-80 or one of the loaner guns we have at the club.
Cheers