Should the Bears bring a vet QB into the QB room this year?

Andy Dalton. Five teams in five years.

I understand that part (third string QB is a third string QB... this is what you get).  I don't have a problem with that.  And I am thankful we have a young second year guy like Tyson Bagent on the roster who could develop further.  That would be a fantastic asset to have, and I think he could develop into being a great backup for the team.  It isn't a bad situation.  But it does give me a greater appreciation for those young guys who happened to be drafted into situations where they could learn from watching a veteran - but I get it, that it is rare to have a situation like Mahomes had behind Alex Smith for most of a season, or the Green Bay QBs had for the transitions of Favre to Rodgers to Love.  Or for that matter Tom Brady behind Drew Bledsoe for a season.  I'm not suggesting CW sit a full season.  I'm just saying those guys probably benefited to some extent having a veteran in the QB room.  I was thinking someone like Josh McCown was in his latter years.  But I get it.  That is easier said than done.