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/pieces/community/cartloom/src/lib/auth.ts

@@ -0,0 +1,47 @@
+import {
+  PieceAuth,
+  Property,
+} from '@activepieces/pieces-framework';
+import { getProducts } from './api';
+
+export type CartloomAuthType = { apiKey: string; domain: string };
+
+export const cartloomAuth = PieceAuth.CustomAuth({
+  description: 'Cartloom Authentication',
+  props: {
+    domain: Property.ShortText({
+      displayName: 'Cartloom Domain',
+      description:
+        'Your cartloom domain will be the subdomain part of your Cartloom URL. Example: https://<strong>mycompany</strong>.cartloom.com',
+      required: true,
+    }),
+    apiKey: PieceAuth.SecretText({
+      displayName: 'API Key',
+      description: 'The API key for your Cartloom account',
+      required: true
+    }),
+  },
+  validate: async ({ auth }) => {
+    try {
+      await validateAuth(auth);
+      return {
+        valid: true,
+      };
+    } catch (e) {
+      return {
+        valid: false,
+        error: (e as Error)?.message,
+      };
+    }
+  },
+  required: true,
+});
+
+const validateAuth = async (auth: CartloomAuthType) => {
+  const response = await getProducts(auth);
+  if (response.success !== true) {
+    throw new Error(
+      'Authentication failed. Please check your domain and API key and try again.'
+    );
+  }
+};