Probably Stolen Wanted List: Photos and Reporting
Open the Wanted poster while the visitor is still at the counter, compare the face, and hold Call Security only when you are sure. The in-game tutorial explicitly warns that false reports can be fined. This is separate from identifying an Aug.

Use the poster as the face reference
The photographed release poster names James Bailey, The Butcher, Arthur Lafleur, Odin Haraldsson, Lou, Li Bei Wen, Juan, John Smith and Leroy. Compare the full face rather than a shared hat or faction alone. Keep the poster easy to open during visits; its printed rewards are reference amounts, not a guarantee of your net payout after perks.
Report while the visitor is present
Officer Lun's photographed instructions point to the alarm beneath the counter. Use the control labelled Call Security for assistance and hold until the game registers the report. Wait for the response instead of pressing repeatedly. Read the result and any faction changes before planning another report.
Keep the three permit questions separate
The Business Permit authorizes the shop; a Weapon Permit concerns the weapon system; the Wanted poster identifies criminals. None is a substitute for another. Version 1.0.0.12 specifically changes shotgun retention for a revoked Weapon Permit 1. Do not treat that special rule as proof that a revoked permit authorizes every weapon trade.
Use character guides for consequences
Reporting a story visitor can change future events. Read the dedicated John Smith, Butcher or Lou guide before deciding from the bounty alone. Older Lou advice also needs its patch condition: 1.0.0.12 changes several storyline choices. Review the next Nightly Report if a visitor was missed.
FAQ
Does a wanted face prove the visitor is an Aug?
No. Criminal identity and Aug identification require different checks and responses.
Is the printed bounty always my final reward?
Perks and the encounter can affect the outcome. Keep the poster amount separate from your actual balance change.