If you have small enough hands you can reach the pins by going in through the stove top. Try to visualize the pins as being centered at the top of the rear corner stones. If you can reach in to the left and right of the cat cover you can likely place a dab of furnace cement on the pins to block them. My hands don't fit but a colleague's did
So are the holes/what you want to plug pointing up to the ceiling or out toward the front of the stove?