I would say it's a good start, or we might have different definition for tamed. I would see a bird tamed when you can let them fly in room free, and when you need to, you can easily either get them to go back to cage or catch them. But like I said, we might have different definitions about it. But that's well done for 3 days.
I am somewhat of an expert (I have a lot of experience) on budgies, so, to get them to go back in their cage, what I do for my 3 is I hold millet in their cage while slowly bringing them to the millet. They usually hop right in!
That aside, in my opinion, budgies who are let out more are tamer, happier, and healthier.
These are my 3 budgies, from (your) left to right, Stormy (M), Picasso (F), Pepper (assumed M). They are out and free roaming. I tamed them by simply having them out so they could come to me when they're ready. I now have 3 budgies (not hand raised) who have had bad times with other humans, who, after some time, let me touch their backs, and Picasso will even roll onto my hand on her back (all with millet).
To get them into the cage, work on target training! That is the most efficient way to get parrots where you want, especially for when they are not fully hand tamed. You just need a chopstick/stick/something to target, and get them to touch the end. For phobic parrots like my African Grey, you might need a few days for them to even do the initial touch. However, once they do, reward them, and keep it up until they know that stick = touch it. Then, you can get them basically anywhere, even if you may not have millet on hand (esp once it’s a strong trick)!
Lmk if you have any questions on treat intervals! I also have a write-up on how to find the best treat for your parrot and how it can be used to maximize training effectiveness if you want it!
Edit: Oh i realized this topic is a bit older than I thought apologies haha