Manuka Honey (or any honey at a push) is an age old remedy that actually works. Warm the honey first slightly so you do not scrape any skin off trying to apply it then DAB it on don’t drag across the burn.
Cover with sterile gauze (not plasters needs to breath) and change once a day.(may need to soak it off each time) Will take the pain away rather quickly and heal very much faster. I know this from exp being stupid in the distant past and hitting my thumb nail with an oxy cutting torch.Used honey on all burns ever since both on myself and my kids