> I’m assuming you’re also gassing off water vapor and other things into the vacuum from your skin, eyes, mouth, lungs, etc. which would cause a loss in temperature locally I think?

Absolutely. Due to the extremely low pressure in space, any liquid water would immediately evaporate, as the boiling point is inversely related to pressure. This will cause your surface temperature to drop. But as soon as that's over, your core temperature would probably offset that again.