### 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

13.1.7

### What operating system are you using?

Windows

### Operating System Version

Windows 10 version 20H2

### What arch are you using?

x64

### Last Known Working Electron version

12.0.15

### Expected Behavior

Checking `navigator.userAgentData` in Chrome 91 returns an array of brands appropriately. Electron 13/14 do not return anything.

This appears to then become a problem for my situation. I am posting a form with hidden variables to a third-party vendor I work with. This form post ultimately loads an iframe.

Expected: As it does in Chrome 91, load the iframe from this third-party vendor.

### Actual Behavior

A header of "sec-ch-ua" is included in the request to the third-party vendor and it is blank. They are rejecting the post because of an invalid header. I suspect this is because Chrome 13/14 does not make this hint data made available correctly.

I tried loading various sites in Chrome 91 that do load brand names in Electron 13/14 and they are empty if you review `navigator.userAgentData`.

### Testcase Gist URL

_No response_

### Additional Information

_No response_
shell/browser/api/electron_api_web_contents.cc
const std::string& content,
                                     bool save_as) {
  base::FilePath path;
  auto it = saved_files_.find(url);
  if (it != saved_files_.end() && !save_as) {
    path = it->second;
  } else {
    file_dialog::DialogSettings settings;
    settings.parent_window = owner_window();
    settings.force_detached = offscreen_;
    settings.title = url;
    settings.default_path = base::FilePath::FromUTF8Unsafe(url);
    if (!file_dialog::ShowSaveDialogSync(settings, &path)) {
      base::Value url_value(url);
      inspectable_ontents_->CallClientFunction(
          "DevToolsAPI.canceledSaveURL", &url_value, nullptr, nullptr);
      return;
    }
  }
  saved_files_[url] = path;
   Notify DevTools.
  base::Value url_value(url);
  base::Value file_system_path_value(path.AsUTF8Unsafe());
  inspectable_ontents_->CallClientFunction(
      "DevToolsAPI.savedURL", &url_value, &file_system_path_value, nullptr);
  file_task_runner_->PostTask(FROM_HERE,
                              base::BindOnce(&WriteToFile, path, content));
}
void WebContents::DevToolsAppendToFile(const std::string& url,