Resolve "Design comments do not render the blockquotes correctly"

app/assets/javascripts/design_management/components/design_notes/design_note.vue

@@ -123,7 +123,7 @@ export default {
     </div>
     <template v-if="!isEditing">
       <div
-        class="note-text js-note-text"
+        class="note-text js-note-text md"
         data-qa-selector="note_content"
         v-html="note.bodyHtml"
       ></div>

changelogs/unreleased/250350-design-comments-do-not-render-the-blockquotes-correctly.yml

+---
+title: Resolve Design comments do not render the blockquotes correctly
+merge_request: 42498
+author:
+type: fixed

spec/frontend/design_management/components/design_notes/__snapshots__/design_note_spec.js.snap

@@ -68,7 +68,7 @@ exports[`Design note component should match the snapshot 1`] = `
   </div>
    
   <div
-    class="note-text js-note-text"
+    class="note-text js-note-text md"
     data-qa-selector="note_content"
   />