fix: refactor registerMcpTools function for improved module initialization

Author: 8bitAlex

site/src/clientModules/webmcp.ts

@@ -2,7 +2,7 @@
 // https://webmachinelearning.github.io/webmcp/
 let controller: AbortController | null = null;
 
-export function onRouteDidUpdate(): void {
+function registerMcpTools(): void {
   if (typeof navigator === 'undefined' || !('modelContext' in navigator)) {
     return;
   }
@@ -67,3 +67,9 @@ export function onRouteDidUpdate(): void {
     signal,
   });
 }
+
+// Run immediately when the module loads and on every route change.
+registerMcpTools();
+export function onRouteDidUpdate(): void {
+  registerMcpTools();
+}