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/react-ui/src/lib/managed-auth-api.ts

@@ -0,0 +1,18 @@
+import { api } from '@/lib/api';
+import { AuthenticationResponse } from '@activepieces/shared';
+
+/**
+ * Django Trust Authentication API
+ *
+ * Uses the custom django-trust endpoint instead of EE managed-authn.
+ * This allows SmoothSchedule to embed Activepieces using Django-signed JWTs.
+ */
+export const managedAuthApi = {
+  generateApToken: async (request: { externalAccessToken: string }) => {
+    // Use our custom django-trust authentication endpoint
+    return api.post<AuthenticationResponse>(
+      `/v1/authentication/django-trust`,
+      { token: request.externalAccessToken },
+    );
+  },
+};