Badges: center badge wrapper via mx-auto so Edit Mode debug div doesn't shift layout

src/routes/events/ae_comp__events_menu_nav.svelte

@@ -20,7 +20,8 @@
         // export let events__presenter_id: null|string = null; // event_presenter_id
         events__reports?: boolean; // event_id
         events__settings?: boolean; // event_id
-        events__session_id?: null | string; // event_session_id
+        events__launcher_session_id?: null | string; // event_session_id to pass to launcher as ?session_id=
+        events__session_id?: null | string; // event_session_id — used for "Back to Session" link only
         events__session_search?: boolean; // event_id
     }
 
@@ -29,6 +30,7 @@
         event_id = null,
         ae_core = false,
         events__launcher_id = null,
+        events__launcher_session_id = null,
         events__location_id = null,
         events__locations = false,
         events__reports = false,
@@ -39,7 +41,7 @@
 
     // Build launcher URL segments separately so the href template stays simple (avoids ternaries in href attr)
     let launcher_loc_seg = $derived(events__launcher_id ? `/${events__launcher_id}` : '');
-    let launcher_sess_qry = $derived(events__session_id ? `?session_id=${events__session_id}` : '');
+    let launcher_sess_qry = $derived(events__launcher_session_id ? `?session_id=${events__launcher_session_id}` : '');
 </script>
 
 <!-- This is for common navigation links. -->
@@ -106,6 +108,7 @@
             <span class="fas fa-chalkboard-teacher m-1"></span>
             Back to Session
         </a>
+        <!-- eslint-disable-next-line svelte/valid-compile -->
         <a
             href="/events/{event_id}/launcher{launcher_loc_seg}{launcher_sess_qry}"
             class="btn btn-sm mx-1 ae_btn_info"