I should clarify that the double timing could have been periodic as opposed to consistent, so that at times Oswald was just walking.
If the double timing was periodically just at times of traveling to the bus and then to taxi and then from taxi to house, it’s possible that Oswald could have left his house as early as 12:55 and thus he could have walked the distance of 0.9 mile to 10th/Patton without any more double timing.
There were lots of people running around in Dealey plaza so Oswald periodically jogging is not so implausible.
So I guess I am a CT that agrees with LNs that it’s possible that Oswald could have shot Tippit just as I agree with LNs that it’s possible that at Z224 a single bullet is impacting both JFK and JC.
Where I disagree is about why Oswald shot Tippit and that CE 399 was the single bullet.
My opinion is that Oswald was NOT the assassin , but that he DID get paranoid by the horror of the assassination , thought himself to be in imminent danger ,and is the reason he went to boarding house 1st, to get his revolver.
My opinion about the CE 399 bullet is that it was a bullet that replaced the bullet that hit JFK and JC because the original bullet recovered from JC was a different shaped bullet (conical shaped) hence not a ball shaped 6.5 mm MC bullet.