This is why you have circuit breakers upstream. Not on every individual instance.
There are client-side retries (which have broken GitHub in this case) and server-side initiated API calls between microservices that don't pass through any of your ingresses (e.g. triggered by an ETL pipeline, or a scheduled job).
With a complex architecture you can't just slap a circuit breaker on a couple of ingresses and call it a day. Don't get me wrong, putting them there does go a long way, but you won't be covering all your bases.
At least it should be required for critical level services in production.
“Circuit breakers, where calls to a downstream service are stopped entirely when an error threshold is exceeded, are widely promoted to solve this problem. Unfortunately, circuit breakers introduce modal behavior into systems that can be difficult to test, and can introduce significant additional time to recovery. We have found that we can mitigate this risk by limiting retries locally using a token bucket. This allows all calls to retry as long as there are tokens, and then retry at a fixed rate when the tokens are exhausted.”