For construction work the requirements are identical to the general industry respiratory protection standard, 29 CFR 1910.134: where respirators are necessary or required, the employer runs a respiratory protection program under that section (program administration, respirator selection, medical evaluation, fit testing, use, maintenance, training and recordkeeping as 1910.134 sets them out).
The graph holds this control, the 0 it maps to, and the evidence behind each claim, over MCP and REST.