Suggest that after cleaning from new and lubricating, that you go and shoot four to six boxes at sporty clays starting w/the gun down or low gun skeet to both become familiar w/it and to give it a bit of initial break in. By then you should know how it comes up for you, if the trigger is acceptable, that it feeds subsequent shots well and if it meets your need(s).
The only Tri-Star I've personal experience w/is a .410 O/U extractor gun and it's chambers are at the absolute SAAMI minimum dimension, making loading both awkward & cumbersome on occasion. I'm probably going to either have them polished or honed to be a bit larger or will sell or trade it. Its well enough made otherwise for a fun shooter. Trigger pulls are heavier than I want, but gunsmith can fix that when chambers are done, if I go that route. Find it a fun gun, for not much money, but whot I'm mentioning is annoying. It would be a lot more fun w/o those issues.
Oh, I have shot a 20ga. O/U belonging to another individual that is similar to my .410 & it was not the least finicky. Only shot it a coupla boxes, at skeet. He had around 2K rounds thru it at that time. It didn't have target trigger pulls either.
For a hunting gun it’ll work fine. My buddy uses his Browning citoru for all his targets, but he has a Tristar 20 for hunting and it’s been flawless. I think it’s a viper G2 bronze. He probably puts a flat or 2 through it each year without a hiccup.
I bought a Tri-Star 28 ga Viper for a high volume dove hunt in Argentina. It lasted for about 1 hour before it gave up. It just wouldn’t function shooting 150 rounds an hour. I switched to Beretta O/U and Benelli 20 ga Montefeltro. No problems in 8 days of shooting 1-2000 shells per day.