Initial commit: clean project structure

- Backend: FastAPI + SQLAlchemy + Celery (Python 3.11+)
- Frontend: Vue 3 + TypeScript + Pinia + Tailwind
- Admin Frontend: separate Vue 3 app for management
- Docker Compose: 9 services orchestration
- Specs: design prototypes, memory system PRD, product roadmap

Cleanup performed:
- Removed temporary debug scripts from backend root
- Removed deprecated admin_app.py (embedded UI)
- Removed duplicate docs from admin-frontend
- Updated .gitignore for Vite cache and egg-info

admin-frontend/src/stores/user.ts

@@ -0,0 +1,49 @@
+import { defineStore } from 'pinia'
+import { ref } from 'vue'
+import { api } from '../api/client'
+
+interface User {
+  id: string
+  name: string
+  avatar_url: string | null
+  provider: string
+}
+
+export const useUserStore = defineStore('user', () => {
+  const user = ref<User | null>(null)
+  const loading = ref(false)
+
+  async function fetchSession() {
+    loading.value = true
+    try {
+      const data = await api.get<{ user: User | null }>('/auth/session')
+      user.value = data.user
+    } catch {
+      user.value = null
+    } finally {
+      loading.value = false
+    }
+  }
+
+  function loginWithGithub() {
+    window.location.href = '/auth/github/signin'
+  }
+
+  function loginWithGoogle() {
+    window.location.href = '/auth/google/signin'
+  }
+
+  async function logout() {
+    await api.post('/auth/signout')
+    user.value = null
+  }
+
+  return {
+    user,
+    loading,
+    fetchSession,
+    loginWithGithub,
+    loginWithGoogle,
+    logout,
+  }
+})