Offer the boarding troops some tea

"Sorry, it's a bit cramped in here." you explain, wiping the tears from your eyes, "But I do have some tea, if you'd like it."

"Oh, jolly good." the troop leader says, "It's been so long since we've had really good tea in the troop pod."

Being the tidy little hostperson that you are you present the troops with their tea. It is that this point that the negotiations break down.