Add Activepieces integration for workflow automation

- Add Activepieces fork with SmoothSchedule custom piece
- Create integrations app with Activepieces service layer
- Add embed token endpoint for iframe integration
- Create Automations page with embedded workflow builder
- Add sidebar visibility fix for embed mode
- Add list inactive customers endpoint to Public API
- Include SmoothSchedule triggers: event created/updated/cancelled
- Include SmoothSchedule actions: create/update/cancel events, list resources/services/customers

🤖 Generated with [Claude Code](https://claude.com/claude-code)

Co-Authored-By: Claude Opus 4.5 <noreply@anthropic.com>

activepieces-fork/packages/tests-e2e/pages/authentication.page.ts

@@ -0,0 +1,50 @@
+import { BasePage } from './base';
+import { faker } from '@faker-js/faker';
+
+export class AuthenticationPage extends BasePage {
+  url = `/sign-in`;
+  signUpUrl = `/sign-up`;
+
+  async signIn(params: { email: string; password: string }) {
+    await this.page.goto(this.url);
+    
+    const emailField = this.page.getByTestId('sign-in-email');
+    await emailField.click();
+    await emailField.fill(params.email);
+    
+    const passwordField = this.page.getByTestId('sign-in-password');
+    await passwordField.click();
+    await passwordField.fill(params.password);
+    
+    await this.page.getByTestId('sign-in-button').click();
+  }
+
+  async signUp(params?: { email?: string; password?: string; firstName?: string; lastName?: string }) {
+    await this.page.goto(this.signUpUrl);
+
+    const firstNameField = this.page.getByTestId('sign-up-first-name');
+    await firstNameField.click();
+    await firstNameField.fill(params?.firstName || 'Bugs');
+    await firstNameField.press('Tab');
+
+    const lastNameField = this.page.getByTestId('sign-up-last-name');
+    await lastNameField.click();
+    await lastNameField.fill(params?.lastName || 'Bunny');
+    await lastNameField.press('Tab');
+
+    const emailField = this.page.getByTestId('sign-up-email');
+    await emailField.click();
+    await emailField.fill(params?.email || faker.internet.email());
+    await emailField.press('Tab');
+
+    const passwordField = this.page.getByTestId('sign-up-password');
+    await passwordField.click();
+    await passwordField.fill(params?.password || faker.internet.password({
+      pattern: /[!@#$%^&*()_+\-=[\]{};':"\\|,.<>/?a-zA-Z0-9]/,
+      length: 12,
+      prefix: '0'
+    }));
+
+    await this.page.getByTestId('sign-up-button').click();
+  }
+}