Your question is Distributed Rate Limiting. Take a moment with it on the right.
Talk me through your thinking if you like. When you're confident, submit your answer and I'll grade it like a real screen (7/10 or better passes).
Implement a rate limiter that handles bursty traffic across multiple servers.
Design it for a production API with multiple stateless app servers behind a load balancer. Clarify how you would keep limits consistent, low-latency, and resilient when traffic spikes, servers restart, or network partitions occur.