If you re-use sessions, where you store the browser instance shouldn't matter much; https://develope

If you re-use sessions, where you store the browser instance shouldn't matter much; https://developers.cloudflare.com/browser-rendering/workers-binding-api/reuse-sessions/
Cloudflare Docs
The best way to improve the performance of your browser rendering Worker is to reuse sessions. One way to do that is via Durable Objects, which allows you to keep a long running connection from a Worker to a browser. Another way is to keep the browser open after you've finished with it, and connect to that session each time you have a new request.
Reuse sessions
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