There are others that will no doubt be able to help guide you in regards to Amazon's specifically.. I see Sailboat already asked great questions.
I did want to comment on "She is lazy and does not fly much"
I have a 15-20 yr. old African Grey, that was ill when I got her with many health issues including fatty liver disease & while her past diet with previous owners certainly played a part her lack of activity/exercise contributed too & was one of the primary things my avian vet had me address when I got her.
If she isn't being active on her own & there isn't any health issues that could cause her to be inactive then I'd get her engaged & participating/active with your guidance.
I set up boings, foraging, toys etc. in a way that encouraged Gracie to explore vertically her cage/play area more, climbing, swinging, hanging etc. I also worked with her to fly her around since she doesn't take off flying often on her own so a few times a day/evening I'd play "Let's fly" & I'd have her take off from my hand do a few laps & return to me (or as often the case she'd land on her boing).
What I realized is I could provide all of the enrichment, toys etc. in the world, free time & if she wasn't being active then it was up to me to help her get engaged.
Before long it became her normal activity. If there are days when she's lazing around then I switch things up & encourage her to go do something instead of perching around.
Maybe she's bored, wants interaction couldn't be any number of things but I don't think lazy to be lazy is really a parrots natural inclination.
Same principle as kicking the kids off the couch to go out & play
Since she is having health issues I would talk to your avian vet to determine the amount, type, duration etc. of exercise/changes that should occur to keep her healthy & not endanger her health etc. My avian vet was more than willing to work up an exercise/activity plan & make recommendations to best improve her health safely.
Gracie has heart disease too so it's important that she get her exercise/cardio regularly & does have other dietary needs & restrictions.
Obviously fatty foods should stop this included sunflower seeds, some nuts etc.
Restorative sleep will also be important to help promote healing while the liver recovers.
Is your girl overweight? I'm assuming that you had testing done? Do you know what was run?
My other concern would also be for your young parrots heart health if she doesn't get active & healthy as it's believed that fatty liver disease can be linked to atherosclerosis and the same factors can cause both ie. diets high in fat, cholesterol and lack of exercise. African Greys & Amazon's seem to be more prone to it with obesity, lack of exercise, poor diet & high fat, unbalanced diet or unhealthy treats being contributing favors.
Good luck with your girl - I hope she recovers without any additional problems.