Do you bathe your baby if you’re back late at night

Hi mummies, when you’re out with your baby till night, assuming they usually shower around 6-7pm, do you still shower them when you’re back? Even it it’s around 9/10pm. I’m scared itll be too cold for him, even if it’s a warm bath. I always have a dilemma whether to shower my baby (9 weeks old) or not when we’re back home late and by the time he’s already sound asleep. And once he’s asleep at night, he would usually sleep quite a long stretch of at least 4/5 hours or even 8hrs. Do i wake him up for a shower/wipe down when we’re back home? Or leave him to sleep. We do shower him every morning or afternoon. No hate comments about hygiene pls, as im a ftm im still figuring out how all these works.