Food from meat oven on a dairy plate

I wanted to ask if there is a problem with putting food that was cooked in a meat pot that was used for meat withing previous 24 hours, but the food itself it is not meat at all, on a dairy plate, if it is hot? Is it only allowed once or even regularly? Also, I wanted to ask if I need separate mittens for handling dairy and meat pots or if there is no problem. Thank you in advance.

It is permitted to do so ab initio. It is good to have a separate set of mittens for each oven.