In order to make an prevent an element from taking focus ("non-focusable"), you need to use Javascript to watch for the focus and prevent the default interaction.
In order to prevent an element from being tabbed to, use tabindex=-1 attribute.
Adding tabindex=-1 will make any element focusable, even div elements. This means when a user clicks on it, it would likely get a focus outline, depending on the browser..
You would ideally, want this:
/**
 * @this {HTMLElement}
 * @param {FocusEvent} event
 * @return {void}
 */
function preventFocus(event) {
  if (event.relatedTarget) {
    // Revert focus back to previous blurring element
    event.relatedTarget.focus();
  } else {
    // No previous focus target, blur instead
    this.blur();
    // Alternatively: event.currentTarget.blur();
  }
}
/* ... */
element.setAttribute('tabindex', '-1');
element.addEventListener('focus', preventFocus);
For safe typechecking, you can perform if (event.relatedTarget instanceof HTMLElement) instead if (event.relatedTarget).