有没有办法覆盖DataContractJsonSerializer如何序列化日期？

using System;
using System.IO;
using System.Runtime.Serialization.Json;
using System.Text;

public class CustomDate
{
    public DateTime Date { get; set; }

    public CustomDate(DateTime date)
    {
        Date = date;
    }

    public override string ToString()
    {
        return Date.ToString("yyyy-MM-dd");
    }

    public static CustomDate Parse(string date)
    {
        return new CustomDate(DateTime.ParseExact(date, "yyyy-MM-dd", null));
    }
}

public class CustomDateJsonConverter : JsonConverter
{
    public override bool CanConvert(Type objectType)
    {
        return objectType == typeof(CustomDate);
    }

    public override object ReadJson(JsonReader reader, Type objectType, object existingValue, JsonSerializer serializer)
    {
        return CustomDate.Parse((string)reader.Value);
    }

    public override void WriteJson(JsonWriter writer, object value, JsonSerializer serializer)
    {
        writer.WriteValue(((CustomDate)value).ToString());
    }
}

public class MyClass
{
    [DataMember]
    [JsonConverter(typeof(CustomDateJsonConverter))]
    public CustomDate MyDate { get; set; }
}

class Program
{
    static void Main(string[] args)
    {
        var obj = new MyClass
        {
            MyDate = new CustomDate(new DateTime(2022, 1, 1))
        };

        var serializer = new DataContractJsonSerializer(typeof(MyClass));

        using (var ms = new MemoryStream())
        {
            serializer.WriteObject(ms, obj);
            var json = Encoding.Default.GetString(ms.ToArray());
            Console.WriteLine(json);

            ms.Position = 0;
            var deserializedObj = (MyClass)serializer.ReadObject(ms);
            Console.WriteLine(deserializedObj.MyDate);
        }
    }
}