You can repair it first and then cover it with jewelry. You can also put a logo on it or embroider something to cover it.
The hole burned by the cigarette should not be very big. Take a small piece of the same fabric from the inside of the down jacket (if the lining is of a different color, take it from the cuff or hem) and patch the permed holes first (the real size should be smaller and the patch should be smoother). In order not to let the added patch affect the appearance. The method of blocking can be determined based on the location of the hole. If it happens to be on the chest, wear a brooch to cover it. You can also embroider something to cover the patch (you can also go to a place that sells clothing accessories and look for appliques, and if there are suitable ones, use appliques to put them on). If the down jacket's trademark looks good, you can also remove the trademark and sew it to the hole (if you use the trademark, you don't need to cut the fabric inside, you can just use the trademark to patch the hole and modify it).
Down jackets are worn in winter, and a scarf is generally worn in winter. If the repaired area can be covered by the scarf, you can just repair it without taking other measures. If it is in an inconspicuous place, the repair technique needs to be high, and it can be done without blocking or using a trademark to block it.