help Table $2$ lists the data for the continuous gas lift installed in a production well to revive its oil production. The well was completed with $3\mathrm{.}5-$in tubing string and a mid$-$perforation depth of $9000$ ft $.$ The production operation of the well was halted due to water accumulation in the bottom hole. Based on the data in Table $2,$ design the unloading valve$/$s depth, top valve depth, the operating valve depth, and the required gas injection volume if balanced valves are to be used with $25$ psig$/$valve pressure drop and the kill fluid is unloaded to the pit.

Table $2$: Data available for gas lift valve placement