ci(check): lint build-logic in lint-check and sync the CI docs with main (#7394)

.github/workflows/promote.yml

@@ -328,7 +328,7 @@ jobs:
           gh workflow run docs-release.yml --ref "$TAG"
 
       # The Obtainium table in README.md follows the channel releases; this refreshes it
-      # now rather than at the next hourly run.
+      # now rather than at the next scheduled run.
       - name: Dispatch scheduled updates
         id: sched
         if: ${{ inputs.channel != 'internal' }}

.github/workflows/reusable-check.yml

@@ -105,7 +105,8 @@ jobs:
           cache_configuration_cache: 'false'
 
       - name: Spotless, Detekt & Android Lint
-        run: ./gradlew spotlessCheck detekt androidApp:lintFdroidDebug androidApp:lintGoogleDebug core:barcode:lintFdroidDebug core:barcode:lintGoogleDebug -Pci=true --continue
+        # The root spotlessCheck and detekt do not reach the included build-logic build.
+        run: ./gradlew spotlessCheck detekt :build-logic:convention:spotlessCheck :build-logic:convention:detekt androidApp:lintFdroidDebug androidApp:lintGoogleDebug core:barcode:lintFdroidDebug core:barcode:lintGoogleDebug -Pci=true --continue
 
   # ── Screenshot Test Validation ──────────────────────────────────────
   screenshot-check: