### 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
weak_factory_.GetWeakPtr(), request_id, file_system_path),
              base::BindRepeating(&WebContents::OnDevToolsIndexingWorked,
                                  weak_factory_.GetWeakPtr(), request_id,
                                  file_system_path),
              base::BindRepeating(&WebContents::OnDevToolsIndexingDone,
                                  weak_factory_.GetWeakPtr(), request_id,
                                  file_system_path)));
}
void WebContents::DevToolsStopIndexing(int request_id) {
  auto it = devtools_indexing_jobs_.find(request_id);
  if (it == devtools_indexing_jobs_.end())
    return;
  it->second->Stop();
  devtools_indexing_jobs_.erase(it);
}
void WebContents::DevToolsSearchInPath(int request_id,
                                       const std::string& file_system_path,
                                       const std::string& query) {
  if (!IsDevToolsFileSystemAdded(GetDevToolsWebContents(), file_system_path)) {
    OnDevToolsSearchCompleted(request_id, file_system_path,
                              std::vector<std::string>());
    return;
  }
  devtools_file_system_indexer_->SearchInPath(
      file_system_path, query,
      base::BindRepeating(&WebContents::OnDevToolsSearchCompleted,
                          weak_factory_.GetWeakPtr(), request_id,
                          file_system_path));
}
void WebContents::DevToolsSetEyeDropperActive(bool active) {