[danik.js]

Какие есть варианты?

Cookie, localStorage..

<button id="button" disabled="">Открыть окно</button>
<script>
    var button = document.getElementById('button');
    if (localStorage.buttonClicked !== 'true') {
        button.disabled = false;
        button.onclick = function() {
            window.open('https://www.google.ru');
            button.disabled = true;
            localStorage.buttonClicked = true;
        }
    }
</script>