It would seem that this game has a copy protection similar to that Final Fantasy game that would let you play for a while and then stop working.
On my DSTT I can play through the first puzzle fine and then after introducing the second one the game kicks you back out of it.
Kind of like a demo...
I can't get it to save on NO$GBA it's pretty glitchy for me. I can get up to what i assume is the first puzzle and then it stops working.
Having the same black screen problem on my DSTT