Okay, it's not being funny or anything, but Sam is the quickest of us, and the one with more IPs, isn't it? So the chances of him closing that damn door faster than the others are better. It's a little bit of a metagaming thinking, but we all remember him shooting a gun he had not readied yet in a combat with more than thirty people involved before anyone else could blink and stop the whole mess (in Twist and Insult), so I would believe this is a reasonable thinking.
If not, then Fractal would volunteer in doing that. But in this case, would Combat Paralysis affect his attempt of closing the doors in anyway? It's not specifically a combat situation, but he could be surprised and could waste some time, so I'm just thinking.