Pool pumps have a humming vibration noise that will be very difficult to block out. You probably already have double pane glass, so you would need to upgrade to expensive triple pane, but you would most likely still hear the pump. One thing that may work is a fixed hurricane shutter, but you would not be able to use the window. Another thing you can try is heavy block out drapes.
I once attended an open house for a new house where the builder had built a pool next door with the pool pump about 10 feet from the master bedroom. The windows were shut, but you could still feel and hear a humming noise from the pool pump. That would be a non-starter for me.
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