y-sweet server's auth_doc API return wrong url when server start with --url-prefix

[kindy]

auth_doc in crates/y-sweet/src/server.rs generate url & baseUrl,
when url_prefix has path, the return url is wrong (baseUrl is correct).

for example, when start y-sweet like this:

y-sweet serve --url-prefix=http://localhost/doc/ws/

auth_doc response will be like this:

• url: ws://localhost/d/<doc_id>/ws
• base_url: http://localhost/doc/ws/d/<doc_id>

---

maybe remove the prefix slash can fix it?
url = url.join(&format!("/d/{doc_id}/ws")).unwrap();

src of url & base_url

  let url = if let Some(url_prefix) = &server_state.url_prefix {
        let mut url = url_prefix.clone();
        let scheme = if url.scheme() == "https" { "wss" } else { "ws" };
        url.set_scheme(scheme).unwrap();
        url = url.join(&format!("/d/{doc_id}/ws")).unwrap();
        url.to_string()
    } else {
        format!("ws://{host}/d/{doc_id}/ws")
    };

    let base_url = if let Some(url_prefix) = &server_state.url_prefix {
        let mut url_prefix = url_prefix.to_string();
        if !url_prefix.ends_with('/') {
            url_prefix = format!("{url_prefix}/");
        }

        format!("{url_prefix}d/{doc_id}")
    } else {
        format!("http://{host}/d/{doc_id}")
    };

---

I meet this when I try the example deployment.
I make some hack like this:

--- a/deploy/Caddyfile
+++ b/deploy/Caddyfile
@@ -1,5 +1,5 @@
 http://localhost {
-    reverse_proxy /doc/ws/* y-sweet:8080
+    reverse_proxy /d/* y-sweet:8080
     reverse_proxy /* demos:3000
 }