Besides loop guard if you still have issues there must be some configuration problem or other issue in that environment. I am both a Cisco and RingCentral reseller and have many working installations with those same phones working fine.
There is nothing special to configure for RingCentral in most cases. Exceptions would be if you have a severe security posture in place and may need explicitly allow RingCentral IP blocks as an example.
Firewall for this instance is an MX? I have seen people do silly things like setup static NAT and/or port forwards for hosted voice services like this that can cause issues. There is also/always some chance if you have IDS/IPS enabled it can cause odd issues. Is there a single WAN connection? Trying to load balance can be problematic for hosted voice sometimes. What type of internet service and handoff?
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