Improve UX with merged run view, method badges, grouped encounters, and mobile nav

Merges the run dashboard into the encounters page as a unified view at /runs/:runId,
adds encounter method grouping in the modal and badges on route rows, improves the
home page with recent runs, adds mobile hamburger nav, and polishes empty states.

Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>

frontend/src/pages/RunDashboard.tsx

@@ -176,7 +176,8 @@ export function RunDashboard() {
         </h2>
         {alive.length === 0 ? (
           <p className="text-gray-500 dark:text-gray-400 text-sm">
-            No pokemon caught yet
+            No pokemon caught yet — head to encounters to start building your
+            team!
           </p>
         ) : (
           <div className="grid grid-cols-2 sm:grid-cols-3 md:grid-cols-4 lg:grid-cols-6 gap-3">