As an added measure install mesh tape at the taped connections overlapping it 2 inches onto the duct at each side.
How to install evaporative cooler roof jack.
Cooler installation kit note.
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Use two self tapping screws to fasten cover plate to roof jack assembly.
I suppose you could use a bead of caulk on the top flange of the jack to seal with the cooler.
Use roof tar or waterproofing membrane to seal all openings.
Seal the mesh with a uniform coat of urethane roof cement.
In an arid environment it is cost effective to install.
Apron collar and flex duct not shown sheet metal slide in damper for winter use only large cover plate small cover plate barometric damper roof jack assembly rja 12 horizontal run level vertical rise roof.
Install a flexible duct from the roof duct to the ceiling register.
Any screws used to mount brackets to the roof should be coated with tar to prevent water entry.
Install a duct transition piece if needed for a round flexible duct.