### 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
void CreateWebSocket(
      content::RenderFrameHost* frame,
      WebSocketFactory factory,
      const GURL& url,
      const net::SiteForCookies& site_for_cookies,
      const absl::optional<std::string>& user_agent,
      mojo::PendingRemote<network::mojom::WebSocketHandshakeClient>
          handshake_client) override;
  bool WillInterceptWebSocket(content::RenderFrameHost*) override;
  bool WillCreateURLLoaderFactory(
      content::BrowserContext* browser_context,
      content::RenderFrameHost* frame,
      int render_process_id,
      URLLoaderFactoryType type,
      const url::Origin& request_initiator,
      absl::optional<int64_t> navigation_id,
      ukm::SourceIdObj ukm_source_id,
      mojo::PendingReceiver<network::mojom::URLLoaderFactory>* factory_receiver,
      mojo::PendingRemote<network::mojom::TrustedURLLoaderHeaderClient>*
          header_client,
      bool* bypass_redirect_checks,
      bool* disable_secure_dns,
      network::mojom::URLLoaderFactoryOverridePtr* factory_override) override;
  std::vector<std::unique_ptr<content::URLLoaderRequestInterceptor>>
  WillCreateURLLoaderRequestInterceptors(
      content::NavigationUIData* navigation_ui_data,
      int frame_tree_node_id,
      const scoped_refptr<network::SharedURLLoaderFactory>&
          network_loader_factory) override;
  bool ShouldTreatURLSchemeAsFirstPartyWhenTopLevel(