Auth with passwords + Playwright E2E tests + PostHog analytics

- bcrypt password hashing in auth (register, login, change-password)
- Login/register pages with password fields
- Profile update + OAuth placeholder endpoints
- Playwright test suite: auth, pages, API (3 test files)
- PostHog Docker analytics on :8010

Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>

tests/api.spec.ts

@@ -0,0 +1,40 @@
+import { test, expect } from '@playwright/test';
+
+const API = 'http://localhost:3000';
+
+test.describe('API Endpoints', () => {
+    test('health check', async ({ request }) => {
+        const res = await request.get(`${API}/health`);
+        expect(res.ok()).toBeTruthy();
+        const data = await res.json();
+        expect(data.status).toBe('ok');
+    });
+
+    test('list tasks', async ({ request }) => {
+        const res = await request.get(`${API}/api/v1/tasks`);
+        expect(res.ok()).toBeTruthy();
+    });
+
+    test('list groups', async ({ request }) => {
+        const res = await request.get(`${API}/api/v1/groups`);
+        expect(res.ok()).toBeTruthy();
+        const data = await res.json();
+        expect(data.data.length).toBeGreaterThan(0);
+    });
+
+    test('system health', async ({ request }) => {
+        const res = await request.get(`${API}/api/v1/system/health`);
+        expect(res.ok()).toBeTruthy();
+    });
+
+    test('create and delete task', async ({ request }) => {
+        const create = await request.post(`${API}/api/v1/tasks`, {
+            data: { title: 'E2E Test Task', priority: 'low' }
+        });
+        expect(create.ok()).toBeTruthy();
+        const { data } = await create.json();
+        
+        const del = await request.delete(`${API}/api/v1/tasks/${data.id}`);
+        expect(del.ok()).toBeTruthy();
+    });
+});

tests/auth.spec.ts

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+import { test, expect } from '@playwright/test';
+
+test.describe('Auth Flow', () => {
+    const email = `test-${Date.now()}@test.cz`;
+    
+    test('register page loads', async ({ page }) => {
+        await page.goto('/register');
+        await expect(page).toHaveTitle(/Task Team/);
+    });
+
+    test('login page loads', async ({ page }) => {
+        await page.goto('/login');
+        await expect(page.locator('input[type="email"]')).toBeVisible();
+    });
+
+    test('register new user', async ({ page }) => {
+        await page.goto('/register');
+        // Name is the first text input (autoFocus), email is type=email
+        await page.locator('input[type="text"]').first().fill('Test User');
+        await page.locator('input[type="email"]').fill(email);
+        await page.locator('button[type="submit"]').click();
+        await page.waitForTimeout(2000);
+        // Should redirect to tasks or show success
+    });
+
+    test('login existing user', async ({ page }) => {
+        await page.goto('/login');
+        await page.fill('input[type="email"]', email);
+        await page.locator('button[type="submit"]').click();
+        await page.waitForTimeout(2000);
+    });
+});

tests/tasks.spec.ts

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+import { test, expect } from '@playwright/test';
+
+test.describe('Tasks', () => {
+    test('tasks page loads', async ({ page }) => {
+        await page.goto('/tasks');
+        await page.waitForTimeout(1000);
+        await expect(page.locator('body')).toBeVisible();
+    });
+
+    test('calendar page loads', async ({ page }) => {
+        await page.goto('/calendar');
+        await expect(page.locator('body')).toBeVisible();
+    });
+
+    test('chat page loads', async ({ page }) => {
+        await page.goto('/chat');
+        await expect(page.locator('body')).toBeVisible();
+    });
+
+    test('goals page loads', async ({ page }) => {
+        await page.goto('/goals');
+        await expect(page.locator('body')).toBeVisible();
+    });
+
+    test('settings page loads', async ({ page }) => {
+        await page.goto('/settings');
+        await expect(page.locator('body')).toBeVisible();
+    });
+
+    test('projects page loads', async ({ page }) => {
+        await page.goto('/projects');
+        await expect(page.locator('body')).toBeVisible();
+    });
+});