### 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
auto header_template = *settings.GetDict().FindString("headerTemplate");
  auto footer_template = *settings.GetDict().FindString("footerTemplate");
  auto prefer_css_page_size = settings.GetDict().FindBool("preferCSSPageSize");
  absl::variant<printing::mojom::PrintPagesParamsPtr, std::string>
      print_pages_params = print_to_pdf::GetPrintPagesParams(
          ontents()->GetMainFrame()->GetLastCommittedURL(), landscape,
          display_header_footer, print_background, scale, paper_width,
          paper_height, margin_top, margin_bottom, margin_left, margin_right,
          absl::make_optional(header_template),
          absl::make_optional(footer_template), prefer_css_page_size);
  if (absl::holds_alternative<std::string>(print_pages_params)) {
    auto error = absl::get<std::string>(print_pages_params);
    promise.RejectWithErrorMessage("Invalid print parameters: " + error);
    return handle;
  }
  auto* manager = PrintViewManagerElectron::FromWebContents(ontents());
  if (!manager) {
    promise.RejectWithErrorMessage("Failed to find print manager");
    return handle;
  }
  auto params = std::move(
      absl::get<printing::mojom::PrintPagesParamsPtr>(print_pages_params));
  params->params->document_cookie = unique_id.value_or(0);
  manager->PrintToPdf(ontents()->GetMainFrame(), page_ranges,
                      std::move(params),
                      base::BindOnce(&WebContents::OnPDFCreated, GetWeakPtr(),
                                     std::move(promise)));
  return handle;
}
void WebContents::OnPDFCreated(