fix: fix review comments, again😉

- Remove unnecessary auth header name check
- Extract operations on headers into a function

client/src/lib/hooks/useConnection.ts

@@ -301,9 +301,6 @@ export function useConnection({
         // Add custom header name as a special request header to let the server know which header to pass through 
         if (authHeaderName.toLowerCase() !== "authorization") {
           headers[authHeaderName] = token;
-          if (headerName) {
-            headers["x-custom-auth-header"] = headerName;
-          }
         } else {
           headers[authHeaderName] = `Bearer ${token}`;
         }