Agree with hokie66.
Beam bracing must control twist of the section, but need not prevent lateral displacement.The LTB of the bottom flange may be idealized as due to two vertical equal and opposite forces at the two edges of the bottom flange and not as a horizontal force at the bottom flange since it would cause twist + bending about the minor axis. The full depth stiffeners would carry this push / pull to the top flange where further load path would depend on the adequacy of the fastening of the deck to the flange and flexural capacity of the deck as woodman88 suggested.
For the subject continuous beam, neither the deck at the top by itself can prevent twist of the beam, nor the stiffeners by themselves can prevent twist, though stiffeners would increase the effective radius of gyration about y-axis and hence increase Lr. However, an adequate diaphragm in combination with a couple of stiffeners at the inflection points can control twist of the section and the beam can be considered braced for LTB purposes.