### Preflight Checklist

- [X] I have read the [Contributing Guidelines](https://github.com/electron/electron/blob/main/CONTRIBUTING.md) for this project.
- [X] I agree to follow the [Code of Conduct](https://github.com/electron/electron/blob/main/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 bug report that matches the one I want to file, without success.

### Electron Version

19.0.0-nightly.20220209

### What operating system are you using?

Windows

### Operating System Version

10.0.19043 Build 19043

### What arch are you using?

x64

### Last Known Working Electron version

_No response_

### Expected Behavior

1. Open DevTools->Settings->Shortcuts
2. Change "Match shortcuts from preset" to "Visual Studio Code"
3. Close devtools and reopen
4. Shortcut setting remains last selected value

### Actual Behavior

1. Open DevTools->Settings->Shortcuts
2. Change "Match shortcuts from preset" to "Visual Studio Code"
3. Close devtools and reopen
4. Shortcut setting reverts to default

### Testcase Gist URL

_No response_

### Additional Information

Seems like it could be related to #31864
shell/browser/ui/inspectable_web_contents.h
void ShowDevTools(bool activate);
  void CloseDevTools();
  bool IsDevToolsViewShowing();
  void AttachTo(scoped_refptr<content::DevToolsAgentHost>);
  void Detach();
  void CallClientFunction(const std::string& function_name,
                          const base::Value* arg1,
                          const base::Value* arg2,
                          const base::Value* arg3);
  void InspectElement(int x, int y);
  
  gfx::Rect GetDevToolsBounds() const;
  void SaveDevToolsBounds(const gfx::Rect& bounds);
  
  double GetDevToolsZoomLevel() const;
  void UpdateDevToolsZoomLevel(double level);
 private:
  
  void ActivateWindow() override;
  void CloseWindow() override;
  void LoadCompleted() override;
  void SetInspectedPageBounds(const gfx::Rect& rect) override;
  void InspectElementCompleted() override;
  void InspectedURLChanged(const std::string& url) override;
  void LoadNetworkResource(DispatchCallback callback,
                           const std::string& url,
                           const std::string& headers,
                           int stream_id) override;
  void SetIsDocked(DispatchCallback callback, bool is_docked) override;
  void OpenInNewTab(const std::string& url) override;