std::priority_queue

I am trying to add a struct with a const member& to a priority_queue.
Here's a minimal example of it:

#include <queue>

struct A
{
    A(const int& i)
        : m_i(i)
    {
    }
    bool operator<(const A& other) const
    {
        return m_i < other.m_i;
    }
    const int& m_i;
};

int main()
{
    std::priority_queue<A> q;
    int i = 3;
    const int& f = i;
    q.emplace(f);
    return 0;
}

I understand the error for this

Error 2 error C2582: 'operator =' function is unavailable in 'A' c:...\algorithm 2322

My A has no operator= overloaded, since it can't because of the const int& i.

I there a way to make this work?

The member needs to be a reference and only const functions can be called on this reference but I don't mind if the value in the struct is changed.

I tried using int& const m_i and implementing the operator= but then I can't initialize the emplace with a const int argument (and I probably don't understand enough what a & const is vs a const&).