"No, I think I'm good right here." And he's way too tired to think about any possible deeper meaning to that besides the obvious: why leave when there's what looks like a decently comfortable bed right there, a roof over his head, and a beautiful woman handing him a toothbrush? Thinking about just what he'd want from the woman in question can wait for later.
"Thanks," he adds, setting the things down on the mattress. "I don't think he's gonna be an issue, but I'll let you know otherwise." There's an obvious hesitation then before he kicks his shoes off and pulls his shirt up and over his head, folding it neatly. His pants follow soon after, Pete's eyes everywhere except on Noa, before he picks up the toothbrush and toothpaste to walk over to the sink and brush his teeth.
This is entirely normal. Sure, it's been months since the last time he shared a room with someone, and it'd been with his ex-girlfriend, and he isn't sure what was going on at all between him and Noa, but really, it's more normal than abnormal. Pete tries to tell himself that, at least, as he finishes brushing and heads back over to the bed he'll be using.