In .NET 9+ there is a built-in option for this:
https://learn.microsoft.com/en-us/dotnet/standard/serialization/system-text-json/extract-schema

public static void SimpleExtraction()
{
    JsonSerializerOptions options = JsonSerializerOptions.Default;
    JsonNode schema = options.GetJsonSchemaAsNode(typeof(Person));
    Console.WriteLine(schema.ToString());
    //{
    //  "type": ["object", "null"],
    //  "properties": {
    //    "Name": { "type": "string" },
    //    "Age": { "type": "integer" },
    //    "Address": { "type": ["string", "null"], "default": null }
    //  },
    //  "required": ["Name", "Age"]
    //}
}

record Person(string Name, int Age, string? Address = null);