During an analysis of \(\text{SF}_4\), a fluorinating reagent, a student draws a Lewis diagram in which the central \(\text{S}\) atom has \(4\) \(\text{S}-\text{F}\) single bonds and \(1\) lone pair. The student uses the VSEPR model to compare axial and equatorial placement of the lone pair within the resulting \(5\)-domain electron geometry. Which statement correctly predicts the molecular geometry of \(\text{SF}_4\) and justifies the preferred position of the lone pair?