There are occasional impossible scenarios, but that one is far from impossible, and you don't even have to use glitching. It's a real challenge, but you can make use of the fact that the ball bounces off the top of the screen and comes back if it goes straight up enough. In that scenario, I'd immediately draw a vertical line down the right edge of the screen (that's where the ball is about to head, then I'd get ready to draw a horizontal line across the top right as soon as the ball falls in that area. That'll trap it, causing it to eventually go down the lower right drain. While you're waiting for that, draw lines that corral it from there over to the square.

I think this is an excellent game and would probably keep playing a version that had some of the bugs worked out. The glitching through walls can be fairly infuriating if you have the ball completely enclosed and it gets its way out, plus the interactions with the edges of the screen can really screw you up (e.g. when you're drawing a line and you accidentally brush against the edge, so it drops the line immediately). I'd also get rid of the clickable stuff at the top left or reduce the play area so that stuff isn't in the way, since a couple of times I accidentally surrendered while I was trying to draw a line there.

One other improvement I could think of is doing a little forward calculation on your randomly-chosen initial state to prevent it from setting up scenarios that really are impossible or just no fun. Having the ball appear for a 10th of a second and then bounce off the top of the screen never to be seen again (because it went to the side) is no fun. Oh, and maybe stick a red dot or something at the top border of the screen when the ball is up there so you can track where it is horizontally. Oh, I'm full of suggestions.

Edit: how did the double mango pudding turn out? :)

It's technically possible to sneak it in on the right.

Its very doable, you got to glitch it (strangely, I got pretty good at glitching it through, and then I realized, my morning was gone, and I had to go work)

For me, in level 2, the dot started near the edge and then almost instantly disappeared.

on level 17 this is easy

Are you using Windows 95?