Implement a thread-safe rate limiter or token bucket algorithm for managing backend LLM API call quotas. Implement run_rate_limiter(capacity, refill_rate, request_times), returning a Boolean for each request timestamp. The bucket starts full, refills continuously at refill_rate tokens per second, and each accepted request consumes one token. Protect shared state so concurrent calls cannot oversubscribe the bucket. Request timestamps are nondecreasing monotonic seconds.
def run_rate_limiter(capacity, refill_rate, request_times):