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/components/ui/home-button.tsx

@@ -0,0 +1,75 @@
+import { t } from 'i18next';
+import { ChevronLeft } from 'lucide-react';
+import { Link } from 'react-router-dom';
+
+import { flagsHooks } from '@/hooks/flags-hooks';
+import { authenticationSession } from '@/lib/authentication-session';
+import { ActivepiecesClientEventName } from 'ee-embed-sdk';
+
+import { useEmbedding } from '../embed-provider';
+
+import { Button } from './button';
+import { Tooltip, TooltipContent, TooltipTrigger } from './tooltip';
+
+const HomeButtonWrapper = ({ children }: { children: React.ReactNode }) => {
+  const { embedState } = useEmbedding();
+  if (embedState.emitHomeButtonClickedEvent) {
+    const handleClick = () => {
+      window.parent.postMessage(
+        {
+          type: ActivepiecesClientEventName.CLIENT_BUILDER_HOME_BUTTON_CLICKED,
+          data: {
+            route: '/flows',
+          },
+        },
+        '*',
+      );
+    };
+    return <div onClick={handleClick}>{children}</div>;
+  }
+  return (
+    <Link to={authenticationSession.appendProjectRoutePrefix('/flows')}>
+      {children}
+    </Link>
+  );
+};
+const HomeButton = () => {
+  const { embedState } = useEmbedding();
+  const branding = flagsHooks.useWebsiteBranding();
+  const showBackButton = embedState.homeButtonIcon === 'back';
+  return (
+    <>
+      {!embedState.hideHomeButtonInBuilder && (
+        <Tooltip>
+          <HomeButtonWrapper>
+            <TooltipTrigger asChild>
+              <Button
+                variant="ghost"
+                size={'icon'}
+                className={showBackButton ? 'size-8' : 'size-10'}
+              >
+                {!showBackButton && (
+                  <img
+                    className="h-5 w-5 object-contain"
+                    src={branding.logos.logoIconUrl}
+                    alt={branding.websiteName}
+                  />
+                )}
+                {showBackButton && <ChevronLeft className="h-4 w-4" />}
+              </Button>
+            </TooltipTrigger>
+          </HomeButtonWrapper>
+          {!showBackButton && (
+            <TooltipContent side="bottom">
+              {t('Go to Dashboard')}
+            </TooltipContent>
+          )}
+        </Tooltip>
+      )}
+    </>
+  );
+};
+
+HomeButton.displayName = 'HomeButton';
+
+export { HomeButton };