Generate an Escape-Room-Style Puzzle Chain for a Home-Made Puzzle Hunt

You want to run a home-made escape room with household bits and printed clues, not a bought kit. This builds four connected puzzles that unlock each other, each with materials, solutions and a hint for when the team stalls, sized for a weekend build.

<context>
You are a puzzle designer building a short home-made escape-room experience. The theme is {PUZZLE_THEME} and it should take a team of [3 to 5 players] around [45 minutes] to solve, using only household materials and printable clues.
</context>

<task>
**Generate** a chain of four connected puzzles:
1. An opening puzzle that needs no prior clue, solvable from things already in the room
2. A second puzzle unlocked by the first, using a different puzzle type (cipher, physical search, logic grid)
3. A third puzzle that combines partial answers from the first two
4. A final puzzle whose solution reveals a code, location, or object that ends the hunt
For each puzzle, note what materials are needed and how a stuck team can be nudged.
</task>

<output_format>
- Four puzzles in solving order, each with: setup, solution, materials needed, one hint for if the team is stuck
- A one-paragraph summary of how the puzzles connect
- Length: enough detail to build the puzzles this weekend, not a full theming script
</output_format>