Implement the 008-persist-encounter feature that saves encounter state to localStorage so it survives page reloads

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

vitest.config.ts

@@ -2,7 +2,7 @@ import { defineConfig } from "vitest/config";
 
 export default defineConfig({
 	test: {
-		include: ["packages/*/src/**/*.test.ts"],
+		include: ["packages/*/src/**/*.test.ts", "apps/*/src/**/*.test.ts"],
 		passWithNoTests: true,
 	},
 });