How to correctly draw a path across the map borders in Leaflet?

Question

The problem is when drawing a path across the map the points that should be on the right appears on the left:

I tried to fix it by checking whether the distance between longitudes of two consequent points of the path is greater than PI, and in that case adding PI to a point with the least longitude, but it doesn't seem to work:

const latlngs = points.map(pt => new L.LatLng(pt[1], pt[0]))
for (let i = 0; i < latlngs.length - 1; i++) {
  let [minLatLng, maxLatLng] = [latlngs[i], latlngs[i+1]];
  if (minLatLng.lng > maxLatLng.lng) {
    [minLatLng, maxLatLng] = [maxLatLng, minLatLng];
  }
  if (maxLatLng.lng - minLatLng.lng > Math.PI) {
    minLatLng.lng += Math.PI
  }
  const polyline = new L.Polyline([latlngs[i], latlngs[i+1]], {
    color: 'red',
    weight: 3,
    opacity: 0.5,
    smoothFactor: 1,
  });
  polyline.addTo(map);
}