You might cut the afternoon heat in the garage by up to 10 degrees with the screen. Measure and see what happens.
The garage will be cooler in the evening with the screen door open.
My guess is screen door closed in the AM, open in the afternoon but probably of little benefit, and open in the evening and you will get a little cooling.
I would not put in a screen door as I do not regularly work in the garage so no actual experience.
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