Is an event where "the photon is 1 light-second away after 1 second" the same for two observers moving away from each other? [closed]

Say you have two objects A and B moving away from each other. Relative to each other they are separating at 0.867 times the speed of light. A is going left and B is going right. Say at the moment they pass each other (t=0) a photon is sent to the right side. Now let’s look at an event that happens after 1 second on clock B and call this event β. At this moment, A will be to the left of B 0.867 light-seconds away. The photon will be to the right of B 1 light-second away, call this event θ. Now if we look at it from the perspective of A, at how many seconds on clock A will it observe events β and θ?

My thinking is that A will observe event β at 2 seconds on its clock due to the Lorentz factor. But event θ will still happen at 1 second on its clock and at a distance 1 light-second away from it since the speed of light is constant for both A and B. That means A will see event θ happen first at t=1s and then event β at t=2s.

To elaborate on my reasoning, look at it from B's pov: they see the light travel 1 light-second distance in 1 seconds.
Now at t=0 in A's pov: in 1 second, B moves to the right and is 0.867 light-seconds away. But we don't care about B's distance. The photon though would've still only travelled 1 light-second distance in A's pov, same as B'pov.