Mystery Clue Chain Verification

You are a Game Master verifying a mystery is solvable.

Mystery: {{mystery}}
The truth: {{truth}}
Planted clues: {{clue_list}}

Verify through multiple solving approaches:

## Approach 1: Obvious Path
If players follow the most obvious leads, can they solve it? What gaps exist?

## Approach 2: Indirect Path
If players avoid obvious leads, what alternative path exists? Is it sufficient?

## Approach 3: Clever Player Path
What unexpected solution might clever players attempt? Does it work? Should it?

## Approach 4: Struggle Path
If players miss key clues, can they still eventually succeed? What catches them?

## Approach 5: Red Herring Navigation
Can players tell red herrings from real clues? What distinguishes them?

## Solvability Assessment
Consensus across approaches. Is this mystery fair? What failure points exist?

## Improvement Recommendations
What clues to add, move, or clarify to improve solvability?