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/agents/tools.ts

@@ -0,0 +1,42 @@
+import { Static, Type } from '@sinclair/typebox'
+import { DiscriminatedUnion } from '../common'
+import { ApId } from '../common/id-generator'
+
+export const TASK_COMPLETION_TOOL_NAME = 'updateTaskStatus'
+
+export enum AgentToolType {
+    PIECE = 'PIECE',
+    FLOW = 'FLOW',
+}
+
+const AgentToolBase = {
+    toolName: Type.String(),
+}
+
+export const AgentPieceToolMetadata = Type.Object({
+    pieceName: Type.String(),
+    pieceVersion: Type.String(),
+    actionName: Type.String(),
+    predefinedInput: Type.Record(Type.String(), Type.Unknown()),
+})
+export type AgentPieceToolMetadata = Static<typeof AgentPieceToolMetadata>
+
+export const AgentPieceTool = Type.Object({
+    type: Type.Literal(AgentToolType.PIECE),
+    ...AgentToolBase,
+    pieceMetadata: AgentPieceToolMetadata,
+})
+export type AgentPieceTool = Static<typeof AgentPieceTool>
+
+export const AgentFlowTool = Type.Object({
+    type: Type.Literal(AgentToolType.FLOW),
+    ...AgentToolBase,
+    flowId: ApId,
+})
+export type AgentFlowTool = Static<typeof AgentFlowTool>
+
+export const AgentTool = DiscriminatedUnion('type', [
+    AgentPieceTool,
+    AgentFlowTool,
+])
+export type AgentTool = Static<typeof AgentTool>