add initial Angular components, services, and routing setup

client/src/app/pages/home/home.component.css

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+.home-container {
+  max-width: 800px;
+  margin: 0 auto;
+  padding: 2rem 1rem;
+  text-align: center;
+}
+
+.home-actions {
+  margin-top: 2rem;
+  display: flex;
+  justify-content: center;
+  gap: 1rem;
+}

client/src/app/pages/home/home.component.html

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+<div class="home-container">
+  @if (getUser(); as user) {
+    <h1>Welcome, {{ user.firstName }}!</h1>
+    <p>What would you like to do today?</p>
+  } @else {
+    <h1>Welcome to the demo</h1>
+    <p>Create an account or sign in to get started.</p>
+    <div class="home-actions">
+      <button mat-flat-button [routerLink]="'/login'">Login</button>
+      <button mat-raised-button [routerLink]="'/register'">Sign Up</button>
+    </div>
+  }
+</div>

client/src/app/pages/home/home.component.spec.ts

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+import { ComponentFixture, TestBed } from '@angular/core/testing';
+
+import { HomeComponent } from './home.component';
+
+describe('HomeComponent', () => {
+  let component: HomeComponent;
+  let fixture: ComponentFixture<HomeComponent>;
+
+  beforeEach(async () => {
+    await TestBed.configureTestingModule({
+      imports: [HomeComponent]
+    })
+    .compileComponents();
+
+    fixture = TestBed.createComponent(HomeComponent);
+    component = fixture.componentInstance;
+    fixture.detectChanges();
+  });
+
+  it('should create', () => {
+    expect(component).toBeTruthy();
+  });
+});

client/src/app/pages/home/home.component.ts

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+import {Component, inject} from '@angular/core';
+import {MatButton} from '@angular/material/button';
+import {AuthService} from '../../services/auth/auth.service';
+import {RouterLink} from '@angular/router';
+
+@Component({
+  selector: 'app-home',
+  standalone: true,
+  imports: [
+    MatButton,
+    RouterLink
+  ],
+  templateUrl: './home.component.html',
+  styleUrl: './home.component.css'
+})
+export class HomeComponent {
+
+  protected readonly authService: AuthService = inject(AuthService);
+
+  getUser() {
+    return this.authService.user();
+  }
+}