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/tasks.spec.ts

@@ -0,0 +1,34 @@
+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();
+    });
+});