web: add firebase push token registration and sync

web/src/store/authStore.ts

@@ -1,6 +1,7 @@
 import { create } from "zustand";
 import { loginRequest, meRequest, refreshRequest } from "../api/auth";
 import type { AuthUser } from "../chat/types";
+import { unregisterWebPushToken } from "../utils/firebasePush";
 import { useChatStore } from "./chatStore";
 
 interface AuthState {
@@ -59,6 +60,7 @@ export const useAuthStore = create<AuthState>((set, get) => ({
     get().setTokens(data.access_token, data.refresh_token);
   },
   logout: () => {
+    void unregisterWebPushToken();
     localStorage.removeItem(ACCESS_KEY);
     localStorage.removeItem(REFRESH_KEY);
     useChatStore.getState().reset();