Got at least one data fetching method working; turns out, we can't use a patched LogicStack to get the data

Vendor/EmbedIO-3.5.2/WebServerExtensions.cs

@@ -0,0 +1,30 @@
+using System;
+using System.Threading;
+using System.Threading.Tasks;
+using Swan;
+
+namespace EmbedIO
+{
+    /// <summary>
+    /// Provides extension methods for types implementing <see cref="IWebServer"/>.
+    /// </summary>
+    public static partial class WebServerExtensions
+    {
+        /// <summary>
+        /// Starts a web server by calling <see cref="IWebServer.RunAsync"/>
+        /// in another thread.
+        /// </summary>
+        /// <param name="this">The <see cref="IWebServer"/> on which this method is called.</param>
+        /// <param name="cancellationToken">A <see cref="CancellationToken"/> used to stop the web server.</param>
+        /// <exception cref="NullReferenceException"><paramref name="this"/> is <see langword="null"/>.</exception>
+        /// <exception cref="InvalidOperationException">The web server has already been started.</exception>
+        public static void Start(this IWebServer @this, CancellationToken cancellationToken = default)
+        {
+#pragma warning disable CS4014 // The call is not awaited - it is expected to run in parallel.
+            Task.Run(() => @this.RunAsync(cancellationToken));
+#pragma warning restore CS4014
+            while (@this.State < WebServerState.Listening)
+                Task.Delay(1, cancellationToken).Await();
+        }
+    }
+}