In the customs I am used to, where you have 2 laps on a single post joining at the same level there are 2 approaches to this. Either the laps are made to meet in the center of the post, or the are alternated, one on the inside of the post or one on the outside.
Also I personally would place laps on a post on sides that will be visible on the finished frame, this is a beautiful joint that you should want others to see for years to come
On the current barn project that I am working on, all of my joints are arranged for best visibility. I wish I was at the point of cutting the braces, I could show you the different methods used in different situations. The system has a but more dynamism that simple mortise and tenons
Right now, I'll try and whip of the drawing I promised you of the refined entry concept