I disagree, the third floor is an occupied space so the stairs have to meet the means of egress requirements as outlined in Chapter 10.
1001.1 General.
Buildings or portions thereof shall be provided with a means of egress system as required by this chapter. The provisions of this chapter shall control the design, construction and arrangement of means of egress components required to provide an approved means of egress from structures and portions thereof.
[BE] EXIT. That portion of a means of egress system between the exit access and the exit discharge or public way. Exit components include exterior exit doors at the level of exit discharge, interior exit stairways and ramps, exit passageways, exterior exit stairways and ramps and horizontal exits.
SECTION 1011 STAIRWAYS
1011.1 General.
Stairways serving occupied portions of a building shall comply with the requirements of Sections 1011.2 through 1011.13.