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"The problems come without solutions for two reasons: first, one can learn more by reading out all the paths and solving the problems oneself; second, the solutions are copyrighted"
PS very new to go...
To the OP's question, I've found that clicking the hand icon in the bottom right swaps it to "Try Play" mode, which lets you place pieces freely without actually submitting. Or you can enter a couple incorrect moves somewhere else on the board to get into Try Play mode.
This lets you try playing out responses to the correct or incorrect answers, so you can learn why a move works/doesn't work. Right-click undoes the last move so you can quickly try different things.
Unfortunately there's no AI to show you the opponent responses though, so it does require some effort on your part to try different approaches and see why they work. I can see where that'd be hard for complete beginners.
Nope, this is a phrase that comes from a source that selected the best tsumego problems, probably the official source of all the mods and game modes that uses them (because some old and non-selected tsumego problems are believed to be impossible)
This is the document where that phrase comes from, and the source https://tsumego.tasuki.org/books/cho-1-elementary-mobile.pdf
Yeah, that what I do as well. The problem is, as I'm a low skill player, I may very easy miss a good move when trying to play out the "resolution" of a tsumego and there's no solution available to point out what I was missing. I never sure if my understanding of why the correct move is the only or the best possible move for a particular board configuration.
So while I can usually find the solution quickly enough, I don't always get a proper understanding of the reasoning behind it or a good grip on how it should properly play out. And I'm not even too far into the tsumego so I expect them to become even harder to fully understand for me.
It's rather unfortunate that tsumego solutions seem to be unlikely to appear. judging by what Garzant is posted about them being copyrighted. :/
They ended up being very much trial and error to beat.
I don't know about other territories, but Japanese copyright law is specially strict and does allow copyrighting the solution to tsumego.
Here is a collection of go puzzles with explanations that I found very helpful for learning how to reason about these problems.