Yeah, often working backwards and forwards at the same time is how to solve some advanced puzzle games. Then you keep it from exploding in options. When thinking backwards from the goal, you figure out constraints or "invariants" the forward path must uphold, thus can discard lots of dead ends earlier in your forward path.
To me, those discoveries are the fun part of most puzzle games. When you unlock the "trick" for each level and the dopamine flies, heh.
I usually get a good mileage out of jumping straight in the middle :). Like, "hmm let's look at this block; oh cool, there's enough space around it that I could push it away from goal, for whatever reason". Turns out, if it's possible there usually is a good reason. So whenever I get stuck, I skim every object in the puzzle and consider in isolation, what can I do with it, and this usually gives me anchor points to drive my forward or backward thinking through.
I think it's applicable to both, but I didn't play much of either :). But it's a method I employ in other similar puzzles and games, including "Baba Is You" in particular.
The approach works in big part because these kinds of puzzles intentionally have very few degrees of freedom. Every element of the puzzle has a specific role to play, so if you look at a piece at random and notice something interesting about it, it's almost certain that this aspect is a part of the solution.
This is very similar to math and physics problems in school as well: they're intentionally structured to contain exactly the minimum amount of data that's necessary for a single solution; take anything away, and the problem is unsolvable. Solving these, students are taught to check if they used all data provided - if they didn't, it means their solution is wrong. A less obvious realization is that this also lets you make educated guesses at the solution - since every piece of information has, by design, a specific role to play, you can start guessing what those roles are; if those guesses start to connect into a structure, it's highly likely you've just identified the middle part of the solution.
Non-puzzle games, as well as real-world scenarios are, unfortunately, almost always underconstrained and full of irrelevant information; most things you see are there for random reasons, entirely unrelated to the problem you're solving. However, they may still be useful, so it's worth looking around anyway.
To me, those discoveries are the fun part of most puzzle games. When you unlock the "trick" for each level and the dopamine flies, heh.