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/deploy/pulumi/.gitignore

@@ -0,0 +1,33 @@
+/.pulumi/
+/.vscode/
+/.vs/
+bin/
+build/
+node_modules/
+*.pyc
+.Python
+venv/
+include/
+lib/
+yarn.lock
+package-lock.json
+# https://www.pulumi.com/blog/iac-recommended-practices-developer-stacks-git-branches/#using-developer-stacks
+# Pulumi.*.yaml
+# Pulumi.*dev*.yaml
+.idea/
+.ionide/
+*.iml
+key.rsa*
+obj/
+vendor
+Gopkg.lock
+**/.DS_Store
+
+**/ci-scripts
+
+# Java app
+.gradle/
+.settings/
+.project
+.classpath
+target/