My 3 suggestions:
1: Yoyojam classic. It is stock responsive. It will come up to your hand with a slight tug, but still spins enough for learning trapeze and double or nothing. Your kid (who is barely younger then me lol) will also dig the fact that there is pretty much all color combinations possible. Last bit of information, putting a full c- sized bearing in it to replace the stock one will make it fully unresponsive.
Also, the classic is pretty big, so if your 12 year old has really small hands id advise against it.p
2: Yoyofactory gaeck one. (the reason i saythe gaeck one instead of the normal one is that they are the same price, but the gaeck one looks cooler to me, and comes with a center trak bearing [ a specialty bearing that is acually $12 on its own] instead of a budget spec. You could geta different color though, they are functionally the same)
This is stock responsive, but all Ones come with a full size bearing, which when placed into the yoyo to replace the original bearing, will turn it into a fully unresponsive yoyo.
3: Yoyojam New breed. I am most likely the first to ever recmommend this yoyo. It is so underrated it isnt funny. Its pretty much a Dark magic 2, but is wider and is made of celcon. I find it is a bit more suitable to beginner than the dm2, because its wider whih makes it slightly easier to land string tricks. It, like all other yoyojam metal rimmed yoyos, comes with a full sized and half sized bearing, which can be switched out to make the yoyo responsive or unresponsive.
It is much more expensive then the other yoyos though, at $40-$50.
Note: this yoyo is smaller and lighter then the classic, and has a differnt shape.