The following page of the Marvel's Spider-Man Game Guide describes the Dinner Date mission. During the dinner with Peter, Mary Jane recalls her burglary in the warehouse...
You play the role of MJ - this is a stealth stage. Wait for the guard to leave and move on to the next guard. Throw down the toolbox and head right to the yellow marker.
Go left, pass the guard over you and go between the boxes and the glass. Do not enter any of the obstacles - the guards may be alerted by the noise. Pass the criminal and go left.
Throw down the toolbox and pass your opponent by taking the left side. Go ahead, but be careful not to fall on cardboard boxes.
Walk around the next cabinets and start the engine. Wait until the guard goes down and move up. Wait until the next criminal leaves, then go down and turn right.
Go around next cardboards. Determine the right moment and go to the yellow marker.
Get to the barrels and examine them. You will witness the brutal scene in which you meet Tombstone for the first time.
After the cutscene, go left and get to the toolbox. Throw it down and walk behind the guard's back straight to the office.
Go up to the plan with the truck and take a picture of it. Then go to desk and take the GPS device. The mission ends and you will receive 3,000 XP.