well, Langford is 4 WAR LF and we have a 5 WAR LF, so he has to go to RF, which displaces Carpenter and/or Vierling (~3 WAR). So maybe you trade a player, but corner OF is not where the Tigers have much weakness that Langford would have been a big marginal upgrade. OTOH, Max Clark is three yrs younger and should a big piece of the pipeline as we start losing current players to cost/FA. Assuming Max turns into a good pro.
If you are in "all in" win once ASAP you definitely take Langford. If you don't want to be the Orioles and have your window close before you ever got through it, maybe you take Clark.