28.8°C bedroom does not for a happy sleepy baby make.
No it wouldn't :(
Though in Spain the advice is that babies shouldn't sleep in rooms below I can't remember what temperature that you never reach in the UK unless the house is on fire.
And on the other hand, the temperature alarm on our (British) baby monitor wouldn't shut up when we were there at the end of August a couple of years ago.
Hope you caught up with some sleep.