It is generally not recommended to wash stainless steel and aluminum in the same dishwasher run, as they have different cleaning requirements and can react with each other in certain conditions.
Stainless steel is generally considered dishwasher-safe and can be washed in a dishwasher without any issues. However, aluminum can react with certain dishwasher detergents and cause discoloration or develop a black or gray residue. This reaction is known as aluminum corrosion.
To avoid any potential problems, it is best to separate stainless steel and aluminum items when loading your dishwasher. If you have both stainless steel and aluminum utensils or cookware that need to be washed, it is advisable to wash them separately or hand wash them to prevent any adverse reactions.