While last two events Kurito dropped items instantly, i tested some chances to get puddings. I found while getting a 1h time cooldown exists 1/4 chance to get at least 1 half pudding.

Now cooldown is back and the chance still the same. The condition, use the chestnut liquor until you get puddings.

You can get that chance using 2 R gacha or 1 R gacha + 1 peronamin or 1 card reveal.