Budgie Taming With His Toy?

Okay so this is my first post on this forum!
I bought my budgie from a store almost two months ago and have been trying to tame him ever since. I only have one budgie and he is young yet.
I really started the regular taming process a week ago, before that I interacted with him occasionally.

I think he's getting closer to me now. I put seeds in my hand and he now cautiously does put one foot on my hand and starts to eat, sometimes even hops on. It's a great feeling when he does. He never ate millet in his life. I tried to give him some after I got him but he doesn't like the spray millet as much as he likes his seeds (sigh) so I can't bribe him with that.

So I tried a different approach. He already has quite a few toys in his cage but there is one in particular that he plays with the most. It's beads on a bendy string with many knots. He loves trying to untie the knot and throwing the toy onto the floor.

Today, what I did was take out that toy and put in on the palm of my hand. He immediately jumped from his perch and onto my hand. I kept talking to him in soothing voices. When he was on my palm, he tried to untie the knots and I slightly felt like he wanted to pick it up and either throw it on the ground or take it back to the cage.
I've been doing this 'toy taming' thing for a day. He jumps onto my hand without any fear and plays with the toy for about 20 to 30 seconds after which he goes back. If I have the toy on my hand he will keep coming back.
So what I wanted to ask was how should I proceed from here? Should I continue? PS: He only stays on my hand if the toy is near otherwise he doesn't stay on it for longer than five seconds.

TL;DR Budgie keen to get on my hand if I have his toy on my hand. Otherwise he isn't tempted much with food. Should I continue taming him with this toy instead of millet (which he isn't fond of).

Btw, I do give him a seed when he jumps onto my hand; as a reward.