What is Rico like when you put his food bowl in his cage? Is he hungry? Does he go straight there and eat? If not, how can you make the food bowl more reinforcing? With mine I take all food out of the cage for the night (nobirdie eats at night in the wild) to make sure they are all hungry for breakfast. With Ollie who wasn't tame when he first came to me, I got him into a routine with food (he knew when to expect the food bowls), then I opened the door about an hour before breakfast when I knew he was hungriest. By the time I slotted the bowl in (making a great show of it), he flew back himself to eat. I didn't have to touch him. I only shut the cage door when he had a bite of food in his mouth, thereby pairing the closing door with a good experience. Ollie was so responsive, I could even let him out before work.
I don't know if a week is long enough. You need to work that out for yourself with how responsive Rico is to his food bowl.
With Ollie I gradually let him out for more and more hours.