The button: social experiment driving Reddit crazy
Some code you can write in the console to click the button at a certain time:    sec10s   = document.getElementById("thebutton-s-10s");
    sec1s    = document.getElementById("thebutton-s-1s");
    sec10ms  = document.getElementById("thebutton-s-10ms");
    sec100ms = document.getElementById("thebutton-s-100ms");
    button   = document.getElementById("thebutton");
    time = function() {
        return sec10s.innerHTML +
               sec1s.innerHTML; // +
               //sec10ms.innerHTML +
               //sec100ms.innerHTML;
    };
    
    pressAt = function(timeStr) {
        return function() {
            if (time() == timeStr) {
                button.click();
            }
        };
    };

    setInterval(pressAt("00"), 100);

But even with setInterval set to 1, this won't get called every millisecond, so you can't get accuracy to the second decimal point, not that there's really any need to. (It turns out setInterval has a minimum delay. setTimeout's minimum delay is 4ms and likely setInterval's minimum delay is the same.) Just set this up and leave your computer running for the next few months and you ought to get it eventually.