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/shared/src/lib/flows/folders/folder-requests.ts

@@ -0,0 +1,30 @@
+import { Static, Type } from '@sinclair/typebox'
+import { Cursor } from '../../common/seek-page'
+
+export const CreateFolderRequest = Type.Object({
+    displayName: Type.String(),
+    projectId: Type.String(),
+})
+
+export type CreateFolderRequest = Static<typeof CreateFolderRequest>
+
+export const UpdateFolderRequest = Type.Object({
+    displayName: Type.String(),
+})
+
+export type UpdateFolderRequest = Static<typeof UpdateFolderRequest>
+
+
+export const DeleteFolderRequest = Type.Object({
+    id: Type.String(),
+})
+
+export type DeleteFlowRequest = Static<typeof DeleteFolderRequest>
+
+export const ListFolderRequest = Type.Object({
+    limit: Type.Optional(Type.Number({})),
+    cursor: Type.Optional(Type.String({})),
+    projectId: Type.String(),
+})
+
+export type ListFolderRequest = Omit<Static<typeof ListFolderRequest>, 'cursor'> & { cursor: Cursor | undefined }