If that's all in one workout, you are probably overtraining.
Close gip benches should be reserved for triceps (not pecs). They also greatly hit your front delts which will detract from inner, upper pec thickness.
If you have enough intensity during your chest routine, there is no reason to ever do another push-up.
Pick three exercises and do 3 to 4 work sets on each and with the proper intensity your chest should be fried.
Here is a sample routine. I would suggest for someone looking for upper chest size.
1st exercise...Bench press 2-3 warm-ups followed by 3 work sets.
You can sustitute flat dumbell press here for variety.
2nd exercise ...Incline press x 3 work sets (no additional warm-up is necessary)
You can substitute incline dumbell press here for variety.
3rd exercise...Incline flys x 3 work sets
Your work sets should cause temporary muscular failure at 6-10 reps.
If you can do another chest exercise after that routine, you aren't working hard enough.
Remember growth occurs while resting. Growth is a healing response to damage done during exercise, so additional exercise only causes additional damage, not additional growth.