Add connection status indicator in UI (#260)

* show connection status as icon in UI title
* make connection status event driven

ui/src/main.tsx

@@ -3,11 +3,14 @@ import { createRoot } from "react-dom/client";
 import "./index.css";
 import App from "./App.tsx";
 import { ThemeProvider } from "./contexts/ThemeProvider";
+import { APIProvider } from "./contexts/APIProvider";
 
 createRoot(document.getElementById("root")!).render(
   <StrictMode>
     <ThemeProvider>
-      <App />
+      <APIProvider>
+        <App />
+      </APIProvider>
     </ThemeProvider>
   </StrictMode>
 );