As solved by @samathingamajig, I've just set this script to key A interpret Left Arrow, and D to interpret Right Arrow.
It end up like this in my TamperMonkey:
// MEDIA TO THE RIGHT - ASSIGNED TO *D* KEY
(() => {
    window.addEventListener('keydown', (e) => {
        if (e.key == 'd' && !e.shiftKey && !e.ctrlKey && !e.altKey && !e.metaKey) {
            ;
            const keyboardEvent = new KeyboardEvent('keydown', {
                key: 'ArrowRight',
                keyCode: 39,
                bubbles: true,
                cancelable: true,
                shiftKey: false,
                ctrlKey: false,
                altKey: false,
                metaKey: false,
            });
            document.dispatchEvent(keyboardEvent);
        }
    });
})();
// MEDIA TO THE LEFT - ASSIGNED TO *A* KEY
(() => {
    window.addEventListener('keydown', (e) => {
        if (e.key == 'a' && !e.shiftKey && !e.ctrlKey && !e.altKey && !e.metaKey) {
            ;
            const keyboardEvent = new KeyboardEvent('keydown', {
                key: 'ArrowLeft',
                keyCode: 39,
                bubbles: true,
                cancelable: true,
                shiftKey: false,
                ctrlKey: false,
                altKey: false,
                metaKey: false,
            });
            document.dispatchEvent(keyboardEvent);
        }
    });
})();