Archival outer orbit folds. The ASAS-SN and ATLAS archival data were used to find the outer period of these triple systems independently of what we were able to learn from ETV or RV curves, or third-body eclipses observed with TESS. Typically, there are 3000–6000 archival photometric points spanning a decade. In the case of TIC 287756035, there is about 1/4 of the outer orbital phase which is missing due to the fact that the outer period nearly exactly matches that of the Earth year, and the consequential observing seasons. The light red curves are fits to a non-physical function consisting of a modified hyperbolic secant (e.g., Eq. (1) of Rappaport et al. 2016). The fit covers only one of the two cycles for clarity in viewing the eclipses, and is used only to find the phases of the eclipses.