fix(web): remove root redirect so dashboard renders at /

The root app/page.tsx was intercepting the / route and redirecting
authenticated users to /tasks, preventing the dashboard page in
(authenticated)/page.tsx from rendering. Removing it lets the
route group's auth guard handle both cases.

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

apps/web/src/app/page.test.tsx

@@ -1,52 +0,0 @@
-import { describe, expect, it, vi, beforeEach } from "vitest";
-import { render } from "@testing-library/react";
-import Home from "./page";
-
-// Mock Next.js navigation
-const mockPush = vi.fn();
-vi.mock("next/navigation", () => ({
-  useRouter: (): {
-    push: typeof mockPush;
-    replace: ReturnType<typeof vi.fn>;
-    prefetch: ReturnType<typeof vi.fn>;
-  } => ({
-    push: mockPush,
-    replace: vi.fn(),
-    prefetch: vi.fn(),
-  }),
-}));
-
-// Mock auth context
-vi.mock("@/lib/auth/auth-context", () => ({
-  useAuth: (): {
-    user: null;
-    isLoading: boolean;
-    isAuthenticated: boolean;
-    signOut: ReturnType<typeof vi.fn>;
-    refreshSession: ReturnType<typeof vi.fn>;
-  } => ({
-    user: null,
-    isLoading: false,
-    isAuthenticated: false,
-    signOut: vi.fn(),
-    refreshSession: vi.fn(),
-  }),
-}));
-
-describe("Home", (): void => {
-  beforeEach((): void => {
-    mockPush.mockClear();
-  });
-
-  it("should render loading spinner", (): void => {
-    const { container } = render(<Home />);
-    // The home page shows a loading spinner while redirecting
-    const spinner = container.querySelector(".animate-spin");
-    expect(spinner).toBeInTheDocument();
-  });
-
-  it("should redirect unauthenticated users to login", (): void => {
-    render(<Home />);
-    expect(mockPush).toHaveBeenCalledWith("/login");
-  });
-});

apps/web/src/app/page.tsx

@@ -1,28 +0,0 @@
-"use client";
-
-import type { ReactElement } from "react";
-
-import { useEffect } from "react";
-import { useRouter } from "next/navigation";
-import { useAuth } from "@/lib/auth/auth-context";
-
-export default function Home(): ReactElement {
-  const router = useRouter();
-  const { isAuthenticated, isLoading } = useAuth();
-
-  useEffect(() => {
-    if (!isLoading) {
-      if (isAuthenticated) {
-        router.push("/tasks");
-      } else {
-        router.push("/login");
-      }
-    }
-  }, [isAuthenticated, isLoading, router]);
-
-  return (
-    <div className="flex min-h-screen items-center justify-center">
-      <div className="animate-spin rounded-full h-12 w-12 border-b-2 border-gray-900"></div>
-    </div>
-  );
-}