### Preflight Checklist

- [X] I have read the [Contributing Guidelines](https://github.com/electron/electron/blob/master/CONTRIBUTING.md) for this project.
- [X] I agree to follow the [Code of Conduct](https://github.com/electron/electron/blob/master/CODE_OF_CONDUCT.md) that this project adheres to.
- [X] I have searched the [issue tracker](https://www.github.com/electron/electron/issues) for a feature request that matches the one I want to file, without success.

### Electron Version

13.1.2

### What operating system are you using?

macOS

### Operating System Version

macOS Big Sur 11.3.1

### What arch are you using?

x64

### Last Known Working Electron version

_No response_

### Expected Behavior

A registered protocol should be able to redirect to another location with the same scheme.

### Actual Behavior

When using `fetch` this results in an error about invalid URL.

### Testcase Gist URL

https://gist.github.com/dsanders11/55a1d1adc86af3c419d758027383e2cc

### Additional Information

This works when loading a window from the redirected URL, just not when using `fetch`. It appears that's because Chromium doesn't follow the redirects the same way for the navigation load, but rather starts a fresh request for the new location.
shell/browser/net/electron_url_loader_factory.cc
if (item.is_string())
            head->headers->AddHeader(iter.first, item.GetString());
        }
      } else {
        continue;
      }
      auto header_name_lowercase = base::ToLowerASCII(iter.first);
      if (header_name_lowercase == "content-type") {
        
        
        head->headers->GetMimeTypeAndCharset(&head->mime_type, &head->charset);
        has_content_type = true;
      } else if (header_name_lowercase == "content-length" &&
                 iter.second.is_string()) {
        base::StringToInt64(iter.second.GetString(), &head->content_length);
      }
    }
  }
  
  
  if (has_mime_type && !has_content_type)
    head->headers->AddHeader("content-type", head->mime_type);
  return head;
}
struct WriteData {
  mojo::Remote<network::mojom::URLLoaderClient> client;
  std::string data;
  std::unique_ptr<mojo::DataPipeProducer> producer;
};
void OnWrite(std::unique_ptr<WriteData> write_data, MojoResult result) {