Same, I just ordered a new battery for mine that I've had since 2018. And I ordered an elago silicone case to cover up the ugly peeling. I figured that's cheaper than purchasing a new one. https://www.amazon.com/gp/product/B09P57... https://www.amazon.com/gp/product/B07DJ1...
I can confirm. Replacing the battery fixed the issue with the Nest disconnecting when someone would ring the doorbell. The O-Ring was still good and when I put everything back together, I put a few dots of gorilla glue under the faceplate. Also, there is no need to remove the motherboard to replace the battery, you can remove it in Step 4. I also connected the nest to a USB charger overnight, in case the battery needed some power. Lastly, I also ordered a silicone cover for the Nest that really helps the aesthetics, since the faceplate was peeling and looking old. Good luck, it's a rather easy repair.