C#: Using a set of overridden functions in a generic one, C#

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//Rextester.Program.Main is the entry point for your code. Don't change it.
//Microsoft (R) Visual C# Compiler version 2.9.0.63208 (958f2354)

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text.RegularExpressions;

namespace Rextester
{
    public class Program
    {
        class Base
        {
        }

class A : Base
        {
        }

class B : Base
        {
        }

private static int Id(Base obj)
        {
            return 0;
        }

private static int Id(A obj)
        {
            return 1;
        }

private static int Id(B obj)
        {
            return 2;
        }

private static int GetId<T>(T obj) where T : Base
        {
            return Id(obj);
        }

public static void Main(string[] args)
        {
            int idBase = GetId(new Base());
            int idA = GetId(new A());
            int idB = GetId(new B());
            // expected    | idBase=0, idA=1, idB=2
            // but getting | idBase=0, idA=0, idB=0
            Console.WriteLine($"idBase={idBase}, idA={idA}, idB={idB}");
        }
    }
}

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Compilation time: 0,22 sec, absolute running time: 0,11 sec, cpu time: 0,09 sec, average memory usage: 13 Mb, average nr of threads: 2, absolute service time: 0,34 sec