Dash Rendar's ship in Star Wars: Shadows of the Empire is the Outrider.
The Outrider is a YT-2400 light freighter flown by Dash Rendar and his droid co-pilot, Leebo. It serves as Dash's transport throughout the game, including the escape from Hoth and several space-combat sequences. The ship gives Dash a role similar to Han Solo's: he is an independent pilot drawn into the larger conflict between the Rebel Alliance, the Empire, and Prince Xizor's criminal organization.
The Outrider is not merely background decoration. In the opening campaign, Dash returns to it after fighting through Echo Base, and later missions place the player in control of its weapons and flight. Its silhouette and fast-freighter role deliberately evoke the Millennium Falcon while establishing Dash as his own character.
Several answer choices come from other Star Wars games or ships. The Ebon Hawk is associated with Knights of the Old Republic, the Rogue Shadow belongs to The Force Unleashed, and the Stinger Mantis is Cal Kestis's ship in Jedi: Fallen Order. The Outrider also appeared in the 1997 Special Edition of A New Hope and a modified version later appeared in Star Wars Rebels.