html, body {
  touch-action: none; /* allows pointermove on mobile */
  cursor: none;
}

.fake-cursor {
  position: fixed;
  width: 40px;
  height: 40px;
  left: 0;
  top: 0;
  pointer-events: none; /* big one: don’t block touches */
  transform: translate(-50%, -50%);
}