Hi & congrats on your new ham, well done for adopting him & giving him a forever home
It doesn't really matter if you feed daily or every few days really, the idea is to try to avoid picky eating so you want to wait until at least most of the food has gone but never leave the bowl empty, a tablespoon is quite a lot for a dwarf ham but they rarely eat too much & do need to make a hoard as well so it doesn't matter if you give a bit more than they need.
I wouldn't leave it more than a few days without giving fresh food though so if there is a lot left after that time then give a bit less.
Harry Hamster is far from ideal for a dwarf ham & unfortunately Burgess are going to discontinue their dwarf hamster harvest & just sell a pellet type food which isn't good either, if you have a look at this thread you will see some alternatives that have been suggested.
Important info - Burgess hamster foods
I do half & half with bowl & scatter feeding too, it helps when you have a new ham to use a bowl as it's easier to see what is or isn't being eaten but once you can see how your ham is doing scatter feeding or just hiding food around the cage is a great form of enrichment for them.
Giving fresh veg daily is really good too, begin slowly with just a small piece every few days to begin with gradually building up & give as much variety as possible.
This is a fairly complete list of veg you can give.
Safe veg, those marked * are relatively high in sugar so only feed to diabetes prone species as an occasional treat if at all.
Asparagus
Basil
Broccoli
Brussels sprouts
Common or red clover
Cabbage, green or red
Carrot*
Cauliflower
Celery
Chard
Coriander
Courgette
Cress (not mustard & cress as commonly sold together)
Cucumber
Dandelion leaves & flowers
Endive/chicory
Green beans/runner beans
Kale
Lettuce (not iceberg)
Pak choi/Bok choi
Parsley
Peas/mange tout/sugar snap/snow*
Peppers, any colour
Potato/sweet potato cooked only*
Radicchio
Spinach
Squash/pumpkin*
Swede
Sweet corn/baby corn*
Turnip