Push (Chest/Triceps/Shoulders):

Flat Barbell Bench Press: 3x5
Seated (or Standing) Barbell Shoulder/Overhead Press: 3x5
Incline Barbell Bench Press: 3x5
Dumbbell Side Lateral Raise: 3x10-12
Rope Pushdowns (circuit machine): 3x10-12
Overhead Dumbbell Extension or similar triceps exercise: 3x10-12
Shrugs(circuit machine or dumbbells): 3x10-12

Pull (Back/Biceps):

Barbell Rows: 3x5
Lat Pulldowns with (Long Bar or V-bar) (circuit machine): 3x8-10
Seated Rows (circuit machine) - optional if already doing barbell rows: 3x8-10
Face-pulls: 3x-10-12
Barbell Bicep Curls (Alternate between close and normal grip): 4x-10-12
Choice of one other bicep exercise (typically Hammer Curls): 3x10-12

Legs (Quad/Ham/Calves):

Barbell Squats: 4x5-6
Leg Press (optional if already doing above squats): 3x8-10
Leg Extensions (circuit machine): 3x10-12
Hamstring Curls (circuit machine): 3x10-12
Standing Calf Raises (circuit machine): 5x10-12

I usually do either P/P/L [REST] P/P/L or P/P/L/P/P/L[Rest]

weird distribution of the volume. can't even say what you aim for.
looks pretty half-assed

seems ok, why more str oriented on chest than back though?

Fine.

Now if you actually stay consistent with it and don't change programs it'll actually be the best program you've ever ran in your entire life.

Srs

Depends on your goals
Also it's quite low volume.. which I suppose is fine to start with but I'd begin to drastically increase that in the coming weeks and months.

Will not having dead lifts be an issue?

how is that low volume? 2x frequency + 9-12 working sets each workout is a good bit of volume

Wont happen.

Once again, zero value contributed.

Goals?