I’ve found a bunch of libraries that support it as a SSE server (for example https://hackage.haskell.org/package/wai-extra-3.1.15/docs/Network-Wai-EventSource.html), but I’m looking for a client library instead.

Is there any public Haskell library that supports this?

https://developer.mozilla.org/en-US/docs/Web/API/Server-sent_events/Using_server-sent_events