(fix:message-input) no badge buttons when shared

frontend/src/conversation/SharedConversation.tsx

@@ -160,6 +160,7 @@ export const SharedConversation = () => {
               onChange={(e) => setInput(e.target.value)}
               onSubmit={() => handleQuestionSubmission()}
               loading={status === 'loading'}
+              isShared={true}
             />
           ) : (
             <button