two url fixes:

- default scheme for legacy connection params
- set paths for http and websocket APIs

internal/http/http.go

@@ -18,6 +18,7 @@ type HttpClient struct {
 func NewHttpClient(url *url.URL, token string) *HttpClient {
 	// Shallow copy the URL to avoid modifying the original
 	u := *url
+	u.Path = "/api"
 	if u.Scheme == "ws" {
 		u.Scheme = "http"
 	}

internal/websocket/websocket.go

@@ -51,6 +51,7 @@ func ConnectionFromUri(baseURL *url.URL, authToken string) (*websocket.Conn, con
 
 	// Shallow copy the URL to avoid modifying the original
 	urlWebsockets := *baseURL
+	urlWebsockets.Path = "/api/websocket"
 	if baseURL.Scheme == "http" {
 		urlWebsockets.Scheme = "ws"
 	}