I spoke to my good friend Salih at King's Garden and he confirms there will be a set menu for the summer, but there is also a set menu for winter running till April 15th, and this is it:
3 courses:
Choice of starters:
Garlıc mushrooms
Soup
Meze plate
Choıce of mains:
Chicken shish
Chicken curry
Meatballs
Chicken casserolle
Pasta
Choice of desserts:
Apple crumble
Fruit salad
Pancake
Plus a glass of wıne or soft drınk
Plus tea or coffee
...all for 20 tl (plus free transport of course)