fix(daemon): keep lifecycle operations on the selected instance

Restart reconstructed launch inputs and address fallback could redirect a home-selected shutdown to another daemon. Let supervisors publish bound endpoints, retain their worker restart contract, and share captured local lifecycle ownership between CLI and Desktop.

.github/workflows/ci.yml

@@ -201,12 +201,35 @@ jobs:
 
       - name: Install virtual display
         if: ${{ runner.os == 'Linux' }}
-        run: sudo apt-get update && sudo apt-get install -y xvfb xauth
+        run: sudo apt-get update && sudo apt-get install -y xvfb xauth xdotool
 
       - name: Install Playwright browser
         if: ${{ runner.os == 'Linux' }}
         run: npx playwright install chromium
 
+      - name: Verify Windows daemon process control
+        if: ${{ runner.os == 'Windows' }}
+        run: npx vitest run packages/cli/src/commands/daemon/lifecycle.e2e.test.ts --bail=1 --maxWorkers=1 -t "Windows unbound|managed two-home"
+
+      - name: Run desktop lifecycle E2E (Linux)
+        if: ${{ runner.os == 'Linux' }}
+        run: xvfb-run -a --server-args="-screen 0 1280x800x24" npm run test:e2e:lifecycle --workspace=@getpaseo/desktop
+        env:
+          PASEO_DESKTOP_LIFECYCLE_ARTIFACT_DIR: ${{ runner.temp }}/desktop-lifecycle
+
+      - name: Upload desktop lifecycle screenshots
+        uses: actions/upload-artifact@v4
+        if: ${{ always() && runner.os == 'Linux' }}
+        with:
+          name: desktop-lifecycle
+          path: ${{ runner.temp }}/desktop-lifecycle
+          if-no-files-found: ignore
+          retention-days: 7
+
+      - name: Run desktop lifecycle E2E (Windows)
+        if: ${{ runner.os == 'Windows' }}
+        run: npm run test:e2e:lifecycle --workspace=@getpaseo/desktop
+
       - name: Run desktop renderer E2E
         if: ${{ runner.os == 'Linux' }}
         run: npm run test:e2e:renderer --workspace=@getpaseo/desktop