fix: remove duplicate environment badges from toolbar

SelectValue already renders the badge from the selected item content,
so the explicit badge in the trigger and the standalone toolbar badge
were redundant.

Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>

src/components/connections/ConnectionSelector.tsx

@@ -38,7 +38,6 @@ export function ConnectionSelector() {
             />
           )}
           <SelectValue placeholder="Select connection" />
-          <EnvironmentBadge environment={activeConn?.environment} size="sm" />
         </div>
       </SelectTrigger>
       <SelectContent>