[ICD] Set client_type when refreshing token for LIT ICD (#35383)

* set client_type when refresh key for ICD

* Update RefreshKeySender.cpp

src/app/icd/client/RefreshKeySender.cpp

@@ -80,6 +80,7 @@ CHIP_ERROR RefreshKeySender::RegisterClientWithNewKey(Messaging::ExchangeManager
     registerClientCommand.checkInNodeID    = mICDClientInfo.check_in_node.GetNodeId();
     registerClientCommand.monitoredSubject = mICDClientInfo.monitored_subject;
     registerClientCommand.key              = mNewKey.Span();
+    registerClientCommand.clientType       = mICDClientInfo.client_type;
     return Controller::InvokeCommandRequest(&exchangeMgr, sessionHandle, endpointId, registerClientCommand, onSuccess, onFailure);
 }