If you have a UPS for pi zero (https://www.amazon.com/Raspberry-Battery-Regulated-Bi-Directional-Support/dp/B07HB28PZZ/ref=sr_1_3?crid=AAQBLABVC43T&keywords=raspberry+pi+zero+ups&qid=1676665972&sprefix=raspberry+pi+zero+u%2Caps%2C321&sr=8-3#customerReviews), can you add an eInk HAT next to the battery? You won't be able to press it totally down. That is what I am wondering.