fix: chat UI

internal/handler/chat.go

@@ -96,6 +96,17 @@ type openDMReq struct {
 	Handle string `json:"handle"`
 }
 
+// Unread — GET /chat/unread. Drives the nav badge, so it stays a single
+// count rather than anything the caller has to aggregate.
+func (h *ChatHandler) Unread(w http.ResponseWriter, r *http.Request) {
+	n, err := h.svc.UnreadCount(r.Context(), middleware.UserID(r.Context()))
+	if err != nil {
+		writeChatError(w, err)
+		return
+	}
+	response.JSON(w, http.StatusOK, map[string]int{"count": n})
+}
+
 // OpenDM — POST /chat/conversations/dm. Idempotent: returns the existing
 // thread when there is one, so the client can call it every time it opens a
 // profile without checking first.