  Searching for an ideal Kitaev spin liquid candidate with anyonic excitations
and long-range entanglement has motivated the synthesis of a new family of
intercalated Kitaev magnets such as H$_{3}$LiIr$_{2}$O$_{6}$,
Cu$_{2}$IrO$_{3}$, and Ag$_{3}$LiIr$_{2}$O$_{6}$. The absence of a
susceptibility peak and a two-step release of the magnetic entropy in these
materials has been proposed as evidence of proximity to the Kitaev spin liquid.
Here we present a comparative study of the magnetic susceptibility, heat
capacity, and muon spin relaxation ($\mu$SR) between two samples of
Ag$_{3}$LiIr$_{2}$O$_{6}$ in the clean and disordered limits. In the disordered
limit, the absence of a peak in either susceptibility or heat capacity and a
weakly depolarizing $\mu$SR signal may suggest a proximate spin liquid ground
state. In the clean limit, however, we resolve a peak in both susceptibility
and heat capacity data, and observe clear oscillations in $\mu$SR that confirm
long-range antiferromagnetic ordering. The $\mu$SR oscillations fit to a Bessel
function, characteristic of an incommensurate order, as reported in the parent
compound $\alpha$-Li$_{2}$IrO$_{3}$. Our results clarify the role of structural
disorder in the intercalated Kitaev magnets.
