Hi Pharm2015,
I bought the same Logitech Circle View Wired Doorbell a few months ago and I had the same issue with you. I just fixed it today! Hopefully, the following comments might help you.
I installed my doorbell by myself. Before installing it, I double-checked my transformer and the chime. The transformer is 16V 10VA and the Logitech doorbell can support my chime. However, after installation, the doorbell kept going offline several times a day. I am 100% sure it was not because of the outdoor temperature (it was closed to 10C outside) or sunlight.
I thought it was because the wireless network connection was bad. So I added more routers. But it didn't work.
It was at the beginning of this June that the doorbell went offline forever. I asked a third-party electrician for help, but he said the smart doorbell is not covered by insurance. It would cost me about 200$ with an extra 75$ for the transformer. The doorbell itself only took me 200$!
I was on my own. Honestly, it was not the first time I thought of the transformer. I double-checked the power consumption of the entire system and found BOTH chime and doorbell need 16V and 10VA of power. As the result, the total power consumption is about (or even more than) 20VA, which must overwhelm the transformer. I bought a 16V 30VA transformer on Amazon and followed a youtube video to replace the old transformer. Eventually, it worked!
SUGGESTION: Please check the voltage and power consumption of your chime. You might need a new transformer with the same voltage but at least 10VA higher power than your chime.
Good luck!
Xiang