Before you move a piece, ask what the puzzle must look like when it is finished. A fixed clue often tells you more than a tempting first move.
Read the boundary of the problem.
Skyline Sanctum gives you four heights, a Latin square and visibility clues. A clue of 1 means the nearest tower must hide every tower behind it; a clue of 4 means all four towers must rise in order. Start with information that leaves the fewest possibilities.
In Archipelago Lights, the island numbers describe bridge totals, but totals alone are insufficient. All islands must also belong to one network. Keep both conditions in view.
Separate position from possibility.
An awkward-looking Prism Quilt piece may fit after a quarter turn. Select the fragment, rotate it and look at its normalised top-left corner before choosing a tray square. Lift a placed piece to try a different arrangement.
A bridge, a folded strip and a parking carriage have different legal moves. Read the short instructions rather than assuming an unfamiliar game follows another game’s rules.
Use an experiment you can explain.
Try one move, notice what changed, then decide what that tells you. The Foundry games include Undo, so you can test a route without discarding your whole idea. An incorrect Check keeps the puzzle available unless the rules describe a terminal mistake.
The goal is a satisfying discovery. There is no public ranking or reward to protect. If an idea stops being enjoyable, pause it or choose a different kind of game.