Restore workflow argument in publish, omit from internal workflow
diff --git a/.github/workflows/health_base.yaml b/.github/workflows/health_base.yaml
index 932829c..c204dcf 100644
--- a/.github/workflows/health_base.yaml
+++ b/.github/workflows/health_base.yaml
@@ -44,11 +44,6 @@
         default: false
         type: boolean
         required: false
-      use-flutter:
-        description: Whether to setup Flutter in this workflow.
-        default: false
-        required: false
-        type: boolean
       ignore_license:
         description: Which files to ignore for the license check.
         default: "\"\""
diff --git a/.github/workflows/publish.yaml b/.github/workflows/publish.yaml
index 08d588a..6910f51 100644
--- a/.github/workflows/publish.yaml
+++ b/.github/workflows/publish.yaml
@@ -64,6 +64,12 @@
         default: "stable"
         required: false
         type: string
+      use-flutter:
+        description: >-
+          Whether to setup Flutter in this workflow.
+        default: false
+        required: false
+        type: boolean
       write-comments:
         description: >-
           Whether to write a comment in this workflow.