Does its seem odd that Oswald would NOT have mentioned having met Mrs Reid in the 2nd floor office?
Or was this a possible statement left out also, from Will Fritz fuzzy reconstructed typed report from his fuzzier scribbled notes of his interview not recorded on film or tape, nor stenographer present, nor attorney verification of such "notes"
What about the meeting with Pierce Allman:
https://www.cbsnews.com/news/a-reporters-chance-encounter-with-jfks-assassin/Was that changed to "met a Secret Service man" possibly to avoid the time line problem here, which is that Allman had to have entered the TSBD entrance lobby 1st floor before DPD officer Barnett has locked the doors by 3 minutes post shots .
So for Oswald to have both met Allman in the front lobby AND exited front door of TSBD before 3 minutes post shots would necessitate Oswald have to be in the lobby not later than approx 2 min 45 sec post shots, AND also have on BOTH brown shirt AND his jacket.
The only way is in the realm of reasonable probability is if Mrs Reid met Oswald about 60 sec posts shots, and Oswald having already traversed about 3/4ths distance into the office and meeting Mrs Reid as she enters the 2nd floor office front door and both of them surprised somewhat by that meeting, which would be an explanation for Oswald saying very little and then continuing on forward since he is closer to the front door, than to the rear door'
Exiting at about 65 sec post shots, therefore, from 2nd floor office, gives Oswald time to return to 2nd floor lunchroom via hallway and thus he would have passed into the "vestibule" area approx 83 sec post shots if having traveled 90 ft plus distance at about 5 ft/sec = 16 seconds later.
83 sec post shots, Oswald opens 2nd floor lunchroom door and that opening and closing caused light intensity change streaming thru the other outer door 2'x2' window to the 2nd floor landing, which is what caught Bakers eye as Baker had just reached the 2nd floor landing and following Truly.
Oswald had just entered the lunchroom and put on his brown shirt, but not yet buttoned it,when Baker came in about 4 to 5 second later, thus it appeared "hanging loosely' to Baker.
Baker leaves Oswald then, about 10 seconds later, at about 2 minutes post shots, therefore, Oswald nows in brown shirt and possibly also could have put on his jacket left there too, has time to use back staircase and traverse 150 ft or so to the front lobby and able to meet Pierce Allman as early as 2 min 30 seconds thus has enough time to have also left front entrance door before Barnett locks it at 3 min post shots