feat(analytics): Add Firebase Analytics integration with page tracking

- Initialize Firebase Analytics with configuration and client-side setup
- Create GoogleAnalytics component to track page views on route changes
- Add analytics utility functions for tracking custom events (button clicks, form submissions, link clicks, searches)
- Integrate GoogleAnalytics component into home, not-found, and marketing layouts with Suspense boundary
- Add firebase dependency to package.json
- Enable automatic page view tracking with pathname and search parameters

app/_components/GoogleAnalytics.tsx

@@ -0,0 +1,26 @@
+"use client";
+
+import { analytics } from "@/lib/firebase";
+import { logEvent } from "firebase/analytics";
+import { usePathname, useSearchParams } from "next/navigation";
+import { useEffect } from "react";
+
+export default function GoogleAnalytics() {
+  const pathname = usePathname();
+  const searchParams = useSearchParams();
+
+  useEffect(() => {
+    if (analytics) {
+      const url =
+        pathname +
+        (searchParams?.toString() ? `?${searchParams.toString()}` : "");
+
+      logEvent(analytics, "page_view", {
+        page_path: url,
+        page_title: document.title,
+      });
+    }
+  }, [pathname, searchParams]);
+
+  return null;
+}