We see the assassin entering the elevator car "F", but steps out on elevator car "G"
When Reese is trying to intercept the bad guys car, their car on the map is going north, and Reese's taxi is going west. This means the bad guys should be coming from Reese's left. But when he stops them they're coming from his right. Which means that even though Reese got to the intersection first, their car has somehow passed him, u-turned and is now going south when he stops them.
Reese is told to find Theresa in the Upper West Side at 89th Street and West End Avenue, and the street signs are shown to indicate the intersection as such; however, the high-rise tower filmed in the scene - Post Toscana, 343 East 89th Street and laundromat "The Mat" shown in the frame are located at the North West and South West corners (respectively) of East 89th Street and 1st Avenue in the Upper East Side, on the exact opposite side of Manhattan.
Note: The building housing "The Mat" was in existence until Fall 2014 when it was demolished.
Note: The building housing "The Mat" was in existence until Fall 2014 when it was demolished.