An open window means kilowatts of energy wasted. All the air I spent money cooling will just leak out. It also means all the pollen will be let in.
Depends which way the wind is coming from.
Depends if you live where there is pollen.
Depends if you generate your power with solar.
If you’re cooling with whole house AC, you’re probably fine if there’s a register in your bedroom and the air is free to return.