The description is a little bit off. "Restart any puzzle and solve it with a different word" is correct, but you actually have to do this 10 times in order to earn the achievement.
You can do this slowly as you go along, for example using "RAISE" to raise a platform and then restarting and using "RISE," but if you want to get this all in one go and get it out of the way, a really good spot to do this is on Chapter 2 (Part 7 if you're selecting from Checkpoint Select, thanks to RBR Arcade
for that information) at the location pictured below.
Now, you don't have to complete the full puzzle every time. This puzzle has three different aspects to it — opening the jammed piece, slowing or stopping the falling platform and raising the large platform — so you just have to use a different word for one of these every time you retry it. For example, use the word "RAISE" to raise the platform. Don't bother finishing the rest. Now pause, hit "Retry" and use a different word to raise the platform or interact with one of the other objects. You can double check that it tracked your attempt by viewing the achievement tracking. It won't start tracking until your second word, since the requirement is to use a different word than one you've already used.
Here is a list of words you can use for each part (there are way more than the amount you need here). Of course, you can also use these any time you see these same scenarios in different spots, provided you have the letters:Unjamming the two platforms squeezed together
: Split, separate, tear, part, releaseStopping/slowing the falling platform
: Halt, hold, stop, wait, slow, still, stall, sloth, slowerRaising the platform
: Rise, arise (if you want to use this one, you'll have to separate "AR" and "ISE" then push them together, else it'll activate when you just have the letters for "rise"), raise
Shoutout to Steam user Mygodstudio for making a guide
that I referenced for additional word choices. Any questions or clarifications? Please let me know