Fix deploy docs output going to launching terminal

- Redirect stdout/stderr to DEVNULL
- Show notification dialog when deploy starts

🤖 Generated with [Claude Code](https://claude.com/claude-code)

Co-Authored-By: Claude Opus 4.5 <noreply@anthropic.com>

src/development_hub/project_list.py

@@ -148,6 +148,21 @@ class ProjectListWidget(QWidget):
 
     def _deploy_docs(self, project: Project):
         """Deploy documentation for project."""
+        from PyQt6.QtWidgets import QMessageBox
+
         build_script = Path.home() / "PycharmProjects/project-docs/scripts/build-public-docs.sh"
         if build_script.exists():
-            subprocess.Popen([str(build_script), project.key, "--deploy"])
+            # Run in background, suppress output
+            subprocess.Popen(
+                [str(build_script), project.key, "--deploy"],
+                stdout=subprocess.DEVNULL,
+                stderr=subprocess.DEVNULL,
+            )
+            # Show notification
+            QMessageBox.information(
+                self,
+                "Deploy Started",
+                f"Documentation deployment started for {project.title}.\n\n"
+                f"This runs in the background. Check Gitea Pages\n"
+                f"in a minute to verify the deployment."
+            )