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But there’s a limit of 5000 requests per 10 minutes with cloudflare workers. This kind of usage will never go well with that limit.

Where did you see that? I've skimmed their limits page [0] and there doesn't seem to be any request limits for paid plans.

There is no such limit. We have individual customers doing hundreds of thousands of requests per second.

(Disclosure: I'm the lead engineer for Workers.)