Word Squash, LogicGameSpace, and Pathways are in the DLE Directory now. I opened all three today and left the first scored move alone. I wanted to know which one I would start tomorrow, not which one I could finish in a review tab.
Word Squash only keeps the first run

I opened Word Squash on Daily Challenge and did not press play. The card already told me the thing that matters: the first attempt is the score you keep. There is a theme for the day and a clock once you start, and you are building familiar phrases from tiles. I left it at not played, because I was not going to burn the only run that counts on a review.
Letters Mode sits under it if you want to place letters into three-letter words with a fresh set each time. That is not the daily. What I like, and this is taste, is the one-shot. I would open this when I want a short sit that I cannot undo.
LogicGameSpace lets you stop after one board

LogicGameSpace is a dated desk, not one mechanic. Today’s set was a 16×16 Minesweeper with 40 mines, a 9×9 Sudoku, and a 10×10 Nonogram. I opened the Minesweeper. The first click is safe. I did not finish the board. One puzzle is enough; all three close the set. There is no deadline on the page, which is the opposite of Word Squash’s clock, and I felt that as soon as I sat down.
Easy, Medium, and Expert practice pages sit beside the daily if you want more of one type. I would come back for the shared set, not for another unlimited Sudoku. If I only had ten minutes I would take one board and leave the other two for later.
Pathways is a path you rotate, not a race

Pathways puts tiles in a tray and a few already on the grid. You tap to pick them up, tap to rotate, and you can only drop them on blank squares. The path has to be one continuous line, one entry, one exit, and no closed loops. I left the unused tiles in the tray. Easy, Medium, and Hard are on the same page, and a hint is there if you want it.
The friction I sat with is spatial, not verbal. Word Squash wants phrases in your head. This one wants edges to meet. I would take Easy when I want to turn tiles instead of guess words, and leave Hard for a longer night.
Which of these should you try first?
If I only had one sit tonight, I would take Word Squash, because one attempt makes the day feel like a day. I would take LogicGameSpace when I want a desk I can pause, and Pathways when I want to rotate something into place instead of reading a clue. All three play in a browser without an account.
FAQ
Are all three games updated daily?
Yes. Word Squash’s Daily Challenge is today’s scored run. LogicGameSpace labels the calendar date and three shared boards. Pathways offers a new pathway every day.
Do these games require an account?
No. I opened all three without a sign-in. LogicGameSpace lets you make an account later if you want completed games saved together.
Is Letters Mode the daily in Word Squash?
No. Letters Mode is an unlimited 3-letter placement game. The shared daily is Daily Challenge, and the first attempt is the score you keep.
Do I have to finish all three LogicGameSpace puzzles?
No. One board is enough. All three make a complete set. Practice Easy, Medium, and Expert are separate.
Are Easy, Medium, and Hard separate dailies in Pathways?
They are three difficulties on the same play page. The pathway itself is the daily.
Conclusion
I left Word Squash unplayed, LogicGameSpace at one opened Minesweeper, and Pathways with tiles still in the tray. That is enough. I would come back for the one-shot phrases when I want a day I cannot undo, the three-board desk when I want to pause, and the tile path when I want to turn something until it connects.