TREATMENT TOOL FOR USE IN A SUBTERRANEAN WELL

A treatment tool can include a housing with longitudinal passages, a valve that controls flow between sections of one passage, another valve that controls flow between the one passage and a section of another passage, and a locking device that prevents the first valve from being transitioned to an open configuration from a closed configuration. A method can include flowing a fluid through a passage of a service string and into an annulus about a screen, the fluid entering the screen and flowing to another annulus via another passage of the service string, then installing a plug in the first passage, thereby preventing flow through the first passage to the annulus about the screen, and creating at least one pressure differential across the plug, thereby preventing flow from an interior of the screen to the other annulus and permitting flow from the first passage to the screen interior.