After submitting a mortgage application, Sabrina's bank just called back. They needed a bit more information to run the Total Gross Debt Service $($GDS$)$ ratio. Sabrina provided the following: gross annual income of $$135,000,$ monthly heating of $$475,$ condo fees of $$750$ per month, and annual property taxes of $$4,750.$ Sabrina also has monthly car payments for her Jeep of $$750$ and other monthly debt payments of $$435.$ Given the bank has just calculated her GDS ratio as $31\%,$ what would be Sabrina's monthly mortgage payment?