Create configuration class with interitance from base class without duplication in config.json

I have a few similar classes with similar configurations in it.

So, I want to create a base Class with common configuration, after that inherit it in child config class and in the end initialize it in logic class:

public class OptionsBase
{
    public string ConnectionKey { get; set; }            
}
public class OptionsChild: OptionsBase
{
    public string ChildName{ get; set; }
}

My json file:

"OptionsBase": {
  "ConnectionKey": "basekey"
},
"OptionsChild": {
  "ChildName" "child1"
}

Expecting to use it like this:

public class Child1
{
    private readonly OptionsChild _options;
    public Child1(IOptions<OptionsChild> options)
    {
        _options = options.Value;
    }
    public void Example()
    {
        var valueFromParent = _options.ConnectionKey;
    }
}

How can I do it without duplication in json file and without using additional common class with common options?

It is web app, config initialization executed like this:

service.Configure<OptionsChild>(config.GetSection("OptionsChild"));

Thank you!

EDIT: I found the solution and added an answer. Please, let me know if the solution is OK.

I have found an answer, here it is described, exactly what I wanted to receive.

It is a bit workaround, need to configure each configuration class twice, but this way I can use base options without duplicating options in child options class and also I don't need to duplicate configuration in JSON file

Please, let me know if the solution is OK.