How to progress
Start each exercise with a weight you can lift for the bottom of its rep range with two or three reps to spare. Keep that weight until you reach the top of the range on every set, then add the smallest jump you can (about 2.5 kg or 5 lb) and build the reps back up. This is double progression: reps first, then weight.
Rest the full time on the big lifts, and stop a set when your form breaks down. If a lift stalls for three or four sessions in a row, take a lighter week or swap the exercise for a close variation.
Why it gets a bad name, and why it still works
The bro split is often dismissed because each muscle is trained only once a week. But growth tracks the number of hard sets a muscle gets each week more than how they are spread out, and this version gives chest, back, shoulders and arms more than 10 each. Its real cost is that a missed day means a muscle goes two weeks without training, so it suits lifters with a steady schedule.
Making it work
Push the big lift at the start of each day hard, and treat the isolation work as volume: controlled reps, close to failure. Because arms and shoulders are also worked on chest and back days, keep the rest days on the weekend, after legs.