limiting template argument types to only set of classes that takes different constructor arguments.

I have a number of classes in my project that acts as a message. and also have a template function that takes a class type and do some work with it.

template <typename T>
static int SendBroadcastMsg(T msg)
{
    //....do something
    return 0; //return an int result once finished.
}

in my main, I have a bunch of messages sent using this template. but I want to limit the template arguments to only Message and AnotherMsg types.

SendBroadcastMsg<Message>(1); //should be valid
SendBroadcastMsg<AnotherMsg>({ true, 2 }); //should be valid
SendBroadcastMsg<NotAMsg>(1);//shoud NOT be valid.
SendBroadcastMsg<NotAMsg>({ false, 1 });// should NOT be valid.

I found some answers here but I can't seem to get it working. I'm suspecting its perhaps due to the constructors of these classes have parameters in it but I'm not sure how to deal with it. Any help would be appreciated.

Full code :

#include <iostream>
#include <memory>
#include <vector>
struct Message
{
    Message( const int val) : Val(val) {}
    int Val;
};

struct AnotherMsg
{
    AnotherMsg( const bool  con, int val) : Cond(con), Val(val){}
    bool Cond;
    int Val;
};

struct NotAMsg
{
    NotAMsg(const int val) : Val(val),  Cond(false){}
    NotAMsg(const bool con, int val) : Cond(con), Val(val){}
    bool Cond;
    int Val;
};


//template function wrapper.
template <typename T>
static int SendBroadcastMsg(T msg)
{
    //....do something
    return 0; //return an int result once finished.
}

template <typename T>
constexpr bool is_ValidMsg()
{
    return std::is_same<T, Message>(const int) || std::is_same<T, AnotherMsg>(const bool, int);
}



template <typename T>
using common_byfunc = typename std::conditional<is_ValidMsg<T>(), NotAMsg, T>::type;


static_assert(std::is_same <common_byfunc<Message>, NotAMsg>(), "");
static_assert(std::is_same <common_byfunc<AnotherMsg>, NotAMsg>(), "");

int main()
{
    SendBroadcastMsg<Message>(1);
    SendBroadcastMsg<AnotherMsg>({ true, 2 });
    SendBroadcastMsg<NotAMsg>(1);//shoud not be valid.
    SendBroadcastMsg<NotAMsg>({ false, 1 });// should not be valid.
    return 0;
}