### 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_context.h
ElectronBrowserContext& operator=(const ElectronBrowserContext&) = delete;
  
  struct PartitionKey {
    std::string partition;
    bool in_memory;
    PartitionKey(const std::string& partition, bool in_memory)
        : partition(partition), in_memory(in_memory) {}
    bool operator<(const PartitionKey& other) const {
      if (partition == other.partition)
        return in_memory < other.in_memory;
      return partition < other.partition;
    }
    bool operator==(const PartitionKey& other) const {
      return (partition == other.partition) && (in_memory == other.in_memory);
    }
  };
  using BrowserContextMap =
      std::map<PartitionKey, std::unique_ptr<ElectronBrowserContext>>;
  
  
  
  static ElectronBrowserContext* From(
      const std::string& partition,
      bool in_memory,
      base::DictionaryValue options = base::DictionaryValue());
  static BrowserContextMap& browser_context_map();
  void SetUserAgent(const std::string& user_agent);
  std::string GetUserAgent() const;
  bool CanUseHttpCache() const;
  int GetMaxCacheSize() const;