Letter to landlord about installation of air conditioner

I have a question.
Could I install a window mounted air conditioner in the window of this room?
I am worried that we cannot install one in a
wooden window frame.
If we cannot, could you share any other ideas you have about that?
As we have a one-year-old boy, we are concerned about how to pass our time in the summer.

Yellow text is corrections of mistakes.   Green Text is suggestions to sound more natural.