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/pushbullet/src/index.ts

@@ -0,0 +1,36 @@
+import {
+  createPiece,
+  OAuth2PropertyValue,
+} from '@activepieces/pieces-framework';
+import { bushbulletAuth } from './lib/common/auth';
+import { sendALink } from './lib/actions/send-a-link';
+import { sendANote } from './lib/actions/send-a-note';
+import { createCustomApiCallAction } from '@activepieces/pieces-common';
+import { BASE_URL } from './lib/common/client';
+import { PieceCategory } from '@activepieces/shared';
+
+export const pushbullet = createPiece({
+  displayName: 'Pushbullet',
+  description: 'Cross-device notification service',
+  categories: [PieceCategory.COMMUNICATION],
+  auth: bushbulletAuth,
+  minimumSupportedRelease: '0.36.1',
+  logoUrl: 'https://cdn.activepieces.com/pieces/pushbullet.png',
+  authors: ['sanket-a11y'],
+  actions: [
+    sendALink,
+    sendANote,
+    createCustomApiCallAction({
+      auth: bushbulletAuth,
+      baseUrl: () => BASE_URL,
+      authMapping: async (auth) => {
+        const access_token = auth;
+        return {
+          Authorization: `Bearer ${access_token.secret_text}`,
+          'Content-Type': 'application/json',
+        };
+      },
+    }),
+  ],
+  triggers: [],
+});