Why can't argument be forwarded inside lambda without mutable?

In the below program, when mutable is not used, the program fails to compile.

#include <iostream>
#include <queue>
#include <functional>

std::queue<std::function<void()>> q;

template<typename T, typename... Args>
void enqueue(T&& func, Args&&... args)
{
    //q.emplace([=]() {                  // this fails
    q.emplace([=]() mutable {             //this works
        func(std::forward<Args>(args)...);
    });
}

int main()
{
    auto f1 = [](int a, int b) { std::cout << a << b << "\n"; };
    auto f2 = [](double a, double b) { std::cout << a << b << "\n";};
    enqueue(f1, 10, 20);
    enqueue(f2, 3.14, 2.14);
    return 0;
}

This is the compiler error

lmbfwd.cpp: In instantiation of ‘enqueue(T&&, Args&& ...)::<lambda()> [with T = main()::<lambda(int, int)>&; Args = {int, int}]’:
lmbfwd.cpp:11:27:   required from ‘struct enqueue(T&&, Args&& ...) [with T = main()::<lambda(int, int)>&; Args = {int, int}]::<lambda()>’
lmbfwd.cpp:10:2:   required from ‘void enqueue(T&&, Args&& ...) [with T = main()::<lambda(int, int)>&; Args = {int, int}]’
lmbfwd.cpp:18:20:   required from here
lmbfwd.cpp:11:26: error: no matching function for call to ‘forward<int>(const int&)’
   func(std::forward<Args>(args)...);

I am not able to understand why argument forwarding fails without mutable.

Besides, if I pass a lambda with string as argument, mutable is not required and program works.

#include <iostream>
#include <queue>
#include <functional>

std::queue<std::function<void()>> q;

template<typename T, typename... Args>
void enqueue(T&& func, Args&&... args)
{
   //works without mutable
    q.emplace([=]() {
        func(std::forward<Args>(args)...);
    });
}
void dequeue()
{
    while (!q.empty()) {
        auto f = std::move(q.front());
        q.pop();
        f();
    }
}
int main()
{
    auto f3 = [](std::string s) { std::cout << s << "\n"; };
    enqueue(f3, "Hello");
    dequeue();
    return 0;
}

Why is mutable required in case of int double and not in case of string ? What is the difference between these two ?