That is a Mossberg, right? If so, it's a smoothbore in either barrel.
OTOH, I doubt any $25 red dot will handle 12 gauge recoil for long. Long being more than 10 shots. Good luck on that.....
Yes, smooth bore. I would assume the comment about a $25 red dot is based on your past experience, but based on my experience with several $150-$250 scopes they were no better than the $50-$60 ones when mounted on shotguns.