Pats fan cooming in peace. Been watching this kid for awhile as he's moved from team to team, here's my perspective
Tall, strong, durable, often brought in to do QB sneaks when playing behind another starter. Excellent at rushes in short yardage situations. Does not shy away from physical contact in order to make plays. Plays through injuries if allowed to do so.
Mostly a pocket passer. Arm is solid with good velocity and accuracy has significantly improved in recent years. Sometimes takes something off the throw in the name of accuracy. Occasionally throws too hard ,as he did on the throw to Cooper that bounced off his hands. Excellent on timing plays. Thrives in play action sets which he should get a lot of in this offense. A bit slow on his reads in the 7 step drop. Smart thrower, has a knack for putting the ball where only his guy can go get it and hitting targets in a way that releases them for YAC. Very tough QB to pick off, does not telegraph his intentions and rarely makes bad decisions on where and when to throw. Is more willing to eat a sack than give up a pick.
Adequate rusher but not his main game. Has the strength and agility to feature the occasional rush, but has fumble issues if asked to call his own number too often. Also steps up in the pocket well, scrambles well, reads the rush well and generally good at putting himself in a position to extend the play. Release is a bit slow and sometimes overthinks, has developed these tactics to counter this weakness.
Leadership qualities through the roof as demonstrated in 2019 when he took a Colts franchise in shambles due to the unexpected retirement of Andrew Luck, and expected to finish around 4-12, and exceeded expectations with them, even having them in playoff contention before massive injury problems in the WR room and the extreme unreliability of Adam Vinatieri's last campaign scuppered those hopes. stabilizing force in the locker room, no ego to speak of, tends to be happy to share credit around when things go well and take the blame when they don't. This leads to a false impression that 2019's bitter ending was his fault because he would never let anyone else take the fall for it.
Summary: If you're looking for an elite quarterback, look elsewhere. If you want a stabilizing force in the locker room, a conservative leader on the field who will let others play to their strengths while he manages the clock and a guy who is likeable and reputable as the face of a team, you could do a lot worse than Jacoby Brissett.