feat: add Vite + React SPA with Tailwind CSS and routing

apps/web/src/App.tsx

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+import { BrowserRouter, Routes, Route } from "react-router-dom";
+
+export function App() {
+  return (
+    <BrowserRouter>
+      <Routes>
+        <Route path="/" element={<div className="p-8 text-2xl font-bold text-primary">Stirling Image</div>} />
+      </Routes>
+    </BrowserRouter>
+  );
+}

apps/web/src/lib/api.ts

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+const API_BASE = "/api";
+
+export async function apiGet<T>(path: string): Promise<T> {
+  const res = await fetch(`${API_BASE}${path}`, {
+    headers: { Authorization: `Bearer ${getToken()}` },
+  });
+  if (!res.ok) throw new Error(`API error: ${res.status}`);
+  return res.json();
+}
+
+export async function apiPost<T>(path: string, body?: unknown): Promise<T> {
+  const res = await fetch(`${API_BASE}${path}`, {
+    method: "POST",
+    headers: {
+      "Content-Type": "application/json",
+      Authorization: `Bearer ${getToken()}`,
+    },
+    body: body ? JSON.stringify(body) : undefined,
+  });
+  if (!res.ok) throw new Error(`API error: ${res.status}`);
+  return res.json();
+}
+
+function getToken(): string {
+  return localStorage.getItem("stirling-token") || "";
+}
+
+export function setToken(token: string) {
+  localStorage.setItem("stirling-token", token);
+}
+
+export function clearToken() {
+  localStorage.removeItem("stirling-token");
+}

apps/web/src/lib/utils.ts

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+import { clsx, type ClassValue } from "clsx";
+import { twMerge } from "tailwind-merge";
+
+export function cn(...inputs: ClassValue[]) {
+  return twMerge(clsx(inputs));
+}

apps/web/src/main.tsx

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+import { StrictMode } from "react";
+import { createRoot } from "react-dom/client";
+import { App } from "./App";
+import "./styles/globals.css";
+
+createRoot(document.getElementById("root")!).render(
+  <StrictMode>
+    <App />
+  </StrictMode>
+);

apps/web/src/styles/globals.css

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+@import "tailwindcss";
+
+@theme {
+  --color-primary: #3b82f6;
+  --color-primary-foreground: #ffffff;
+  --color-background: #ffffff;
+  --color-foreground: #0f172a;
+  --color-muted: #f1f5f9;
+  --color-muted-foreground: #64748b;
+  --color-border: #e2e8f0;
+  --color-card: #ffffff;
+  --color-card-foreground: #0f172a;
+  --color-sidebar: #f8fafc;
+  --color-sidebar-foreground: #334155;
+  --color-accent: #3b82f6;
+  --color-destructive: #ef4444;
+}
+
+.dark {
+  --color-background: #0f172a;
+  --color-foreground: #f8fafc;
+  --color-muted: #1e293b;
+  --color-muted-foreground: #94a3b8;
+  --color-border: #334155;
+  --color-card: #1e293b;
+  --color-card-foreground: #f8fafc;
+  --color-sidebar: #1e293b;
+  --color-sidebar-foreground: #cbd5e1;
+}