We have exactly the same problem - the Ring Chime is flashing the blue Ring. The only difference is that our Ring Chime is connected to a single battery Ring Doorbell.
The Ring Chime is firmly in its power socket, which is on an internal wall on one side of the door with the Ring Battery Doorbell on an external wall on the other side of the door. We have BT Whole Home Wi-Fi discs to extend the Wi-Fi signal and the Ring Chime is closer to the nearest BT Whole Home Wi-Fi disc than the Ring Battery Doorbell. The Ring Battery Doorbell shows RSSI-61 at worst - at best, it is in the low 50s - so at all times, it is sufficient.
Interestingly, our wired Ring Doorbell, which uses the house bell circuit has a fairly consistent RSSI-65 although it is much closer to the Base BT Whole Home Wi-Fi disc. It has started showing black video sections in the mobile app timeline. The History section of the Ring PC app shows no entries for the time periods of these black sections in the mobile app timeline.
Basically, we have two (possibly three - definitely the Ring Chime and the wired Ring Doorbell and, possibly, the Battery Ring Doorbell) Ring devices showing issues that could be related to Wi-Fi. However, Wi-Fi provision is as good as possible with five BT Whole Home Discs positioned around a relatively small three-bedroomed, detached, mid-1970s built, house with no other Wi-Fi devices indicated any Wi-Fi issues. ALL Ring devices worked in this configuration for some time but have now started to show failure symptoms.
What do you suggest be done to analyse these issues further, please?