Per the IPC, all you need is the portion below. In other words, the parts I deleted are not doing anything useful in the DWV system.
One caveat, not sure if the CO is supposed to be over by the W/C; I'm not so familiar with cleanout requirements. But changing the wye by the WC to a 3" and putting a 3" CO in the wall on lav drain would provide CO access to most of the 3" lines, as well as eliminating some more pipe.
BTW, for the shower to be wet vented as below, the total fall in the 2" shower trap arm, from the trap outlet to the 3x3x2 wye, is limited to 2". Meaning that 2" pipe can be up to 8' in length if you achieve a perfect 1/4" per foot drop; or some what shorter if it drops more steeply.
Cheers, Wayne