### 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/electron_browser_client.h
blink::AssociatedInterfaceRegistry* associated_registry,
      content::RenderProcessHost* render_process_host) override;
  void RegisterBrowserInterfaceBindersForFrame(
      content::RenderFrameHost* render_frame_host,
      mojo::BinderMapWithContext<content::RenderFrameHost*>* map) override;
  void RegisterBrowserInterfaceBindersForServiceWorker(
      mojo::BinderMapWithContext<const content::ServiceWorkerVersionBaseInfo&>*
          map) override;
#if BUILDFLAG(IS_LINUX)
  void GetAdditionalMappedFilesForChildProcess(
      const base::CommandLine& command_line,
      int child_process_id,
      content::PosixFileDescriptorInfo* mappings) override;
#endif
  std::string GetUserAgent() override;
  void SetUserAgent(const std::string& user_agent);
  content::SerialDelegate* GetSerialDelegate() override;
  content::BluetoothDelegate* GetBluetoothDelegate() override;
  content::HidDelegate* GetHidDelegate() override;
  device::GeolocationManager* GetGeolocationManager() override;
  content::PlatformNotificationService* GetPlatformNotificationService();
 protected:
  void RenderProcessWillLaunch(content::RenderProcessHost* host) override;
  content::SpeechRecognitionManagerDelegate*
  CreateSpeechRecognitionManagerDelegate() override;
  content::TtsPlatform* GetTtsPlatform() override;
  void OverrideWebkitPrefs(content::WebContents* web_contents,
                           blink::web_pref::WebPreferences* prefs) override;
  void RegisterPendingSiteInstance(
      content::RenderFrameHost* render_frame_host,