How the fuck should i increase the weight without losing progressive overload

Say I do bench press 3x5
I did for example 1pl8 for 5 reps in 3 sets
The next workout i added 2.5lbs
I did the first set with clean 5
The second and third sets i did 3 reps only (with the same added weight)
That means my progressive overload went down from the first workout
So how I should do it and still progressing?

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Take longer breaks in between sets. If your first set was truly clean you should be able to do two more with same amount of reps. 3-4 minutes. Or you're not eating/recovering enough.

This

Or warmup to your heaviest working weight, and then if you feel you won't be able to make the reps on your next set, go down in weight.

Okay but what if I'm eating/resting enough? If I couldn't complete the appropriate sets×reps should i just reduce the weight and do more sets to up the progressive overload of the last workout?
Thanks for replying tho

I actually do warm ups
Should I increase the weight of the warm up sets to get more volume or these sets must remain the same?

>I actually do warm ups
Warmup properly. Typically something like below:

Bar x 2x8 (or get lighter dumbbells in your case for weaker lifts)
50% of working weight x 8 reps
65% x 5 reps
75% x 3 reps
85% x 1 rep
Then, you're ready to hit your working weights. Your muscles have blood flowing, you've practiced your form going through proper range of motion, and you've built up, preparing yourself mentally but also not tiring yourself out.

Do the greyskull lp method of deloading: Drop the weight by 10% for the next workout. On the very last set do as many reps as possible. Don't worry about deloading when you have to. 135 may be bitch weight but you can't just improve instantly all the time, you gotta give your body a hand and help it recover when needed.

Okay my warming up sets was pretty wrong thank user

>Drop the weight by 10% for the next workout.
Do you mean by "next workout" the next day or next set in the same day I failed the weight?
Same goes for this?
>On the very last set do as many reps as possible

Yeah, just remember, a warmup is to prep yourself for your actual workout. Don't tire yourself out doing the shit you know you can do, and don't bring yourself anywhere near failure on the easy shit. Keep yourself fresh for your hardest/heaviest weights.

From workout to workout. If you hit 135lb for 5 reps on your first set, but only get 3 the next set, you can either
1. Try 135lb for multiple sets next workout, aiming for 5 reps per set
2. Try 135lb for 1 set, then go down 5-10lb for consecutive sets to hit your reps
3. Backpeddle to a weight that you know you can hit 3x5 and practice it. Your last set can be as many reps as possible, but you ideally want to stay away from failure except for every once in a while.