The membrane doesn't encounter any abrasions, other than from the tabs on the bulb holders. Should the fingernail polish eventually lose its bond, the membrane is held in place by the bulb holders, and polish could be reapplied if ever needed.
In the graphics industry, I used transparent double-sided tape. It was basically a strip of cellophane with adhesive on both sides. But, wouldn't you know Gorilla Tape makes it.
Also, go to
www.Quill.Com and search for Scotch® Permanent Double Sided Tape Refill, 1/2" x 25 yds., 1" Core, 1 Roll (665)
Item #: 369-665129 Model #: 66512X25 Brand: Scotch. It's $7 plus change. I would trust this to work.
I buy all my disinfectants, paper towels, and toilet paper from Quill. Free delivery. During the TP shortage, I got 98 rolls of TP for $56. Got masks. I just recently replenished my Viva paper towels. A 6-pack double role package for $15, set at my doorstep. At the store with a store membership discount card, 6 single rolls are $14.