### 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.cc
#include "shell/browser/net/proxying_url_loader_factory.h"
#include "shell/browser/net/proxying_websocket.h"
#include "shell/browser/net/system_network_context_manager.h"
#include "shell/browser/network_hints_handler_impl.h"
#include "shell/browser/notifications/notification_presenter.h"
#include "shell/browser/notifications/platform_notification_service.h"
#include "shell/browser/protocol_registry.h"
#include "shell/browser/serial/electron_serial_delegate.h"
#include "shell/browser/session_preferences.h"
#include "shell/browser/ui/devtools_manager_delegate.h"
#include "shell/browser/web_contents_permission_helper.h"
#include "shell/browser/web_contents_preferences.h"
#include "shell/browser/window_list.h"
#include "shell/common/api/api.mojom.h"
#include "shell/common/application_info.h"
#include "shell/common/electron_paths.h"
#include "shell/common/logging.h"
#include "shell/common/options_switches.h"
#include "shell/common/platform_util.h"
#include "third_party/blink/public/common/loader/url_loader_throttle.h"
#include "third_party/blink/public/common/tokens/tokens.h"
#include "third_party/blink/public/common/web_preferences/web_preferences.h"
#include "third_party/blink/public/mojom/badging/badging.mojom.h"
#include "ui/base/resource/resource_bundle.h"
#include "ui/native_theme/native_theme.h"
#include "v8/include/v8.h"
#if BUILDFLAG(IS_WIN)
#include "sandbox/win/src/sandbox_policy.h"
#endif
#if BUILDFLAG(USE_NSS_CERTS)