Add frontend API client and TanStack Query hooks

Install @tanstack/react-query, create a fetch-based API client with typed
functions for all endpoints, and add query/mutation hooks for games, pokemon,
runs, and encounters. Includes Vite dev proxy for /api and QueryClientProvider
setup.

Co-Authored-By: Claude Opus 4.5 <noreply@anthropic.com>

frontend/src/api/runs.ts

@@ -0,0 +1,30 @@
+import { api } from './client'
+import type {
+  NuzlockeRun,
+  RunDetail,
+  CreateRunInput,
+  UpdateRunInput,
+} from '../types/game'
+
+export function getRuns(): Promise<NuzlockeRun[]> {
+  return api.get('/runs')
+}
+
+export function getRun(id: number): Promise<RunDetail> {
+  return api.get(`/runs/${id}`)
+}
+
+export function createRun(data: CreateRunInput): Promise<NuzlockeRun> {
+  return api.post('/runs', data)
+}
+
+export function updateRun(
+  id: number,
+  data: UpdateRunInput,
+): Promise<NuzlockeRun> {
+  return api.patch(`/runs/${id}`, data)
+}
+
+export function deleteRun(id: number): Promise<void> {
+  return api.del(`/runs/${id}`)
+}