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wagg hamster gerbil mouse munch isn't really the best food you could give your ham, it is a little low in protein for a young ham too.
Most people feed Harry Hamster for Syrian hams, it's widely available in pet shops or online so easy to get hold of.
With a good food like that you don't really need to supplement protein but you can still give a few extras as treats.
The most important thing is to supplement your mix with some fresh veg, beginning slowly say once every few days then building up to daily give a small piece of veg varying it as much as possible from day to day.