Pattern matching `Type` in a way that can be assigned to a `const` variable... is it possible?

internal static class Constants {
    public static string GUID(Type type) {
        return type switch {
            TypeA   => "DEADBEEF-FEEE-FEEE-CDCD-000000000000",
            TypeB   => "DEADBEEF-FEEE-FEEE-CDCD-000000000001",
            TypeC   => "DEADBEEF-FEEE-FEEE-CDCD-000000000002",
            TypeEtc => "DEADBEEF-FEEE-FEEE-CDCD-000000000004",
    
            null => throw new ArgumentNullException(
                $"GUID lookup failed, {nameof(type)} is null"
            ),
            _ => throw new ArgumentException(
                $"GUID lookup failed, type {type.Name} missing from GUID map"
            ),
        };
    }
}

private const string GUID = Constants.GUID(TypeA);