I'm betting its a pellet stove with an exhaust blower so I doubt it would create any problems. It has the increaser on the end where the cap is and that makes me think its a 3" or 4" insulated pipe before the cap part. Those pipes only need small clearances so running it thru the plywood with the clearance should be fine too.
It might not be eye appealing but I bet it gets the job done and it may be all they could afford. Or they just dont give a crap and thats ok too.
Does the free ticket include airfare?