@brianlee3271 progressive is across a longer interval than per set in the same work-out. All progressive overload is is adding weight progressively over time, usually on the order of weekly for most beginner to intermediates, but can be over course of month(s) or even entire mesocycles for more advanced trainees (might take 3 months of training to add 5 pounds to bench when you're close to your peak potential).
Progression strategies vary but basic ones:
Linear progression- add weight every session. Suppose you do 5x5 135 lbs this week. Next week do 5x5 140 lbs. Week after do 145 lbs, etc. Will hit a ceiling relatively quickly unless a true beginner.
Double progression (close to what you outlined). Set a set target (3) and a rep range (maybe 8-10). You want to be able to hit that weight across all sets. Suppose I did 135 lbs for 10 reps, 10 reps, 8 reps- I didn't quite hit that target so try again next week. Next week I get 10 reps on all 3 sets, add 5 lbs and repeat for 140 lbs (shouldn't be able to hit 10 reps on all 3 sets). You can also adjust individual sets separately, etc. Many ways to do it.
Deloading is a completely separate topic. Usually you want to aim to take a deload week every 8-10 weeks or so, basically do lower volume or lower weight temporarily just to give your body time to recover. Your body grows when it's
resting not when you lift. Lifting is just the mechanism to trigger your body to grow, but the actual growth happens when you're recovering or sleeping. Deloading just helps give your body a bit extra time to recover once in a while. I tend to not target deloads, I just naturally have some weeks where I'm busy and can't get to gym every session, or I'm out of town for travel. I take those times as an implicit deload and only schedule a deload if I go a really long duration undisturbed.
Don't overthink it though, it's basically, lift heavy, and lift heavier in future.