Another approach...
Glue a tiny neodymium magnet to the end of a wood dowel/stick. Then find a small steel washer or nut that provides a strong attraction to the tool magnet. Sandwich your plastic window between the magnet and nut. Apply the dabs of tacky glue or canopy glue to the window flange. Insert and position the window in the door frame. Carefully turn the assembled car and tool on its side, tool/window downward. You could support the car/tool in this position until the glue has enough time to set, the weight of the tool holding the window in place. Pull the tool free, and you're done.
Sure, the small nut or washer is left inside the car. But if it's small enough, gravity will help it find a suitable hiding place to come to rest unobtrusively in the interior (Just like the pocket change that finds its way out my pants to 'somewhere' beneath the driver's seat in my vehicle!!!). After all, why would we be shaking the truck to cause a rattle on the layout???
Just a thought...FWIW. It's the 'MacGyver' in me, I guess.
KD