Yes, I suppose a near-drowning experience could tire a person out...

[A person other than Papyrus, anyway. He's not feeling tired, but energetic and ready to go! Especially since having something to do will distract him from the memory of feeling heavy and unbuoyant in the water!

With a sip of his own tea, he nods decisively, and follows her back into avoiding the topic.]

You should feel free to find a bed. Or a... hammock, or whatever they have... and get a good nap in.

[And, if she's done with her tea... He offers a hand to grab it, and bring it back to the kitchen-type space with him.]