Oswald takes 48 sec to get to the 2nd floor. Oswald spends a further 52 sec near the lunchroom.
Why would he hang around at the lunchroom when he simply could have walked through the office space and leave the building through the front entrance?
Also, a time trial placed Oswald at the top of the stairs on the 6th floor at around 28 seconds after the shots (at the earliest). He only needed 20 seconds to go from the 6th floor to the 2nd floor and Adams and Styles didn't see him? I doubt it.
Oswald gets to the 2nd floor after 48 sec. He stops. What to do next? Should he continue down to the first floor?
Should he go to the first floor via the front stairs?
Should he lay low in the lunch room?
His jacket is in the Domino Room.
Uh Oh -- He hears Adams & Styles klomping down the stairs in a real hurry on a mission.
Best to visit the coke machine & hope that whoever it is goes clean past.
They pass. He comes back out. What to do next?
He can't decide. He will be less conspicuous if he takes the front stairs, but he would then have to walk back into & throo the storage area to get his jacket in the Domino Room.
He decides to continue down the back stairs.
He makes a start but then Truly hollers up the elevator shaft, so he goes back up.
Then he hears Baker & Truly galloping up the stairs, & he retreats to the coke machine a second time.
He walks slow & cool.
He would have been better off diving into the lunchroom in a hurry, & laying low, he knows there is no-one in there, but he knows that if seen rushing (by Truly & Co) it will be a sure sign that he is guilty of something.
He nearly makes it, another couple of slow steps & he will be out of sight.
But damn, Baker spots a bit of him throo the glass of the door & says to come back.
Truly confirms that Oswald works here, & Baker & Truly gallop off.
Oswald gets a coke to look less guilty & more cool if confronted again. And assassinations go better with coke.
The back stairs are now dangerous. He heads for the front stairs, either forgetting about his jacket or deciding that his jacket is a dead duck.
But just in case more dumb cops are entering along the corridor he goes via the office.
Damn, he meets Jeraldean Reid as she returns to her desk. She says something as they pass & he mumbles something back. Its not a good look. He has no business in the office, unless wanting change for the coke machine. Its not even a short cut to the stairs. Damn. Anyhow no big deal.
He goes down the front stairs & mixes with the growing throng in the lobby near the front door without raising any suspicion.
Someone asks him about a phone.
Ok, things aint so bad, praps he can take a chance & get his jacket from the Domino Room anyhow.
Hmmm – he can get his jacket by going out the front door & down the steps & around & entering via the Houston dock (like he does each morning), & walking 13 paces to the jacket.
Getting caught walking in shouldn’t result in getting bitten by a cop.
So, off he goes, but he gets a little ways up Houston & he sees Officer Barnett on sentry duty at the dock, & Barnett looks vicious.
So, a quick U-turn & back down Houston. Buell Frazier sees him walking south along Houston.
No, the jacket is a dead duck. He decides to get out of there asap, he crosses Houston & then crosses Elm.
Tippit is waiting.
What i dont explain above is that Oswald fired twice, & then he stood up & back from the window (as per Brennan's testimony) & Oswald saw Hickey fire an accidental auto burst (of at least 4 shots) that hit jfk in the head.
So, my Oswald had a few seconds of start compared to the Oswald-fired-3-shots crowd.