I'm stuck. Does that mean I chose the wrong word earlier and used up an essential letter? Does the sequence of word guesses matter? Is there an Undo feature so I can back up and try a different order of guesses? Can I get a hint? Is there a way to give up and see the solution (order of word guesses)?

You're not stuck, the board only removes letters and connections that are not used by any other word (probably excluding "bonus words"). So the word(s) you're missing are still on the board.

No hint feathre though, the hints are the letters going away. You'll probably have to use a scrabble search or something.

Gemini can solve them if you need a hint or want to give up and see the solution.