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/cometapi/src/index.ts

@@ -0,0 +1,29 @@
+import { createPiece } from '@activepieces/pieces-framework';
+import { PieceCategory } from '@activepieces/shared';
+import { createCustomApiCallAction } from '@activepieces/pieces-common';
+import { BASE_URL, cometApiAuth } from './lib/common/auth';
+import { askCometApiAction } from './lib/actions/ask-cometapi';
+
+export const cometapi = createPiece({
+  displayName: 'CometAPI',
+  description:
+    'Access multiple AI models through CometAPI - unified interface for GPT, Claude, Gemini, and more.',
+  auth: cometApiAuth,
+  minimumSupportedRelease: '0.36.1',
+  logoUrl: 'https://cdn.activepieces.com/pieces/cometapi.png',
+  categories: [PieceCategory.ARTIFICIAL_INTELLIGENCE],
+  authors: ['TensorNull'],
+  actions: [
+    askCometApiAction,
+    createCustomApiCallAction({
+      baseUrl: () => BASE_URL,
+      auth: cometApiAuth,
+      authMapping: async (auth) => {
+        return {
+          Authorization: `Bearer ${auth.secret_text}`,
+        };
+      },
+    }),
+  ],
+  triggers: [],
+});