TSP does some microscopic "etching" so that the painters can paint over existing paint. It is a mild degreaser also.
Unless you are a painter and are going to paint the surface, leave out the TSP, there is no reason to use it in a house or building wash.
Like in your other thread asking about Simple Cherry, the Simple Cherry is a great house wash, building wash (both houses and buildings have siding on them) and mixes well with the bleach.
Do some reading here, use the search button and it will answer about 90% of the questions you have or will have. Most of this has been asked before.
I like using simple cherry for almost all my house and building washes as it does a great job.