Overtaking in racing is a complex manoeuvre that requires precise driver inputs and is influenced by the vehicle dynamics. In categories with heavy aerodynamic influence in their cars, when following another car, the trailing car experiences significant reductions in downforce and drag, as well as shifts in aero balance, which compromise the performance of the car in all phases of driving; traction, straight-line speed, braking, cornering, and stability. The aim of this study is to develop a proof-of concept simulation framework that applies optimal control methods to investigate the optimal racing line when following another car under wake effects as well as performing overtaking manoeuvres under such conditions. A planar vehicle model representative of a 2024 Formula 3 car was developed by correlating with real telemetry data supplied by Campos Racing. Aerodynamic wake effects were incorporated through a parametric model derived from experimental data from the literature. The optimal control problem was implemented in the Dymos open-source library, with a custom track being generated for this study. The solution strategy consisted of generating a reference trajectory for a single car and then simulating an active car following the leading car and performing an overtake, subjected to wake losses and collision constraints. Results show that the following car exploits drag reduction in straights but avoids the wake in braking, cornering, and traction zones, particularly at corner exit, by optimising its racing line as a compromise between aerodynamic performance and curvature. These findings demonstrate that optimal control can capture realistic overtaking behaviour under aerodynamic wake, providing a foundation for more advanced multi-car interaction studies in motorsport simulation.