If you were hoping to keep the weight down and spec up, then it would be worth taking a close look at 35mm bars since you’re buying a new stem and bars anyway.
In every case I’ve seen, length for length the 35mm bars are lighter than their 31.8 equivalents. Whether they are less flexy or not is a matter for rad’er riders than me to discuss, but everything points to them being a better product from an engineering point of view. Probably not revolutionary enough to be worth punting perfectly good bars and stems for to get the improvment, but better enough that they should be on your ‘to look at’ list if buying new bits.