Lara's rack rate is $$279\mathrm{.}99.$ She has been asked to bid on $200$ rooms nights needed by a travel agent seeking housing for a group of seniors touring the area by bus. The travel agency has requested Lara provide her a net $($non$-$commissionable$)$ rate. Lara's hotel typically pays a $8\%$ travel agency fee. What would be Lara's per room night net noncommissionable rate for these rooms if she does not lower her rack rate?

$$199\mathrm{.}99$

$$269\mathrm{.}99$

$$279\mathrm{.}99$

$$257\mathrm{.}59$