Limit for Data Throughput using CloudFlare proxy

Hello, I have an app with 100 messages/s and each message size is 11 bytes through WebSocket. I am currently using Cloudflare Tunnel for exposing my app to the internet but it seems like with this amount of messages, cloudflared have high cpu usage and I think it is also the bottleneck limiting messages. If I plan to switch to Cloudflare proxy, does this amount of data tolerated under Free plan for a domain?

Thank you and sorry for the long and unstructured message 😭 it is currently 7pm here
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