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/tavily/README.md

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+# Tavily
+
+## Description
+Tavily is an AI-powered search engine designed for accurate and real-time information retrieval. This piece enables integration with Tavily's API to perform searches and extract information.
+
+## Actions
+1. **Search**: Perform a search query using Tavily's AI search engine
+   - Supports both basic and advanced search depths
+   - Optional AI-generated answer
+   - Configurable result limits
+   - Raw content inclusion option
+
+2. **Extract**: Extract structured data from a webpage using Tavily's extraction API
+   - Clean and formatted content extraction
+   - Supports various content types
+   - Removes ads and irrelevant content
+
+## Authentication
+This piece requires an API key from Tavily. To obtain your API key:
+1. Visit https://tavily.com/ and sign up for an account
+2. Navigate to your dashboard
+3. Copy your API key from the dashboard
+
+## Requirements
+- Tavily API Key