Improe chat response handling for archive/tagging.

client/src/components/chat-archive-button/chat-archive-button.component.jsx

@@ -13,6 +13,7 @@ export default function ChatArchiveButton({ conversation }) {
 
     await updateConversation({
       variables: { id: conversation.id, archived: !conversation.archived },
+      refetchQueries: ["CONVERSATION_LIST_QUERY"],
     });
 
     setLoading(false);

client/src/components/chat-conversation-title-tags/chat-conversation-title-tags.component.jsx

@@ -16,6 +16,16 @@ export default function ChatConversationTitleTags({ jobConversations }) {
           conversationId: convId,
           jobId: jobId,
         },
+        update(cache) {
+          cache.modify({
+            id: cache.identify({ id: convId, __typename: "conversations" }),
+            fields: {
+              job_conversations(ex) {
+                return ex.filter((e) => e.jobid !== jobId);
+              },
+            },
+          });
+        },
       });
       logImEXEvent("messaging_remove_job_tag", {
         conversationId: convId,