Short answers, pulled from the story.
Ray Gresko built the Jedi engine to solve a specific problem that Doom could not. He worked closely with LucasArts to adapt existing concepts into something unique while maintaining direct supervision throughout its short life cycle.
The capability to display two rooms situated on top of each other simultaneously arrived during the Outlaws release after Dark Forces failed to show them at once. This feature waited until the Outlaws release to arrive, allowing multiple sectors to be displayed vertically.
Star Wars: Dark Forces launched first using this specific engine architecture and became the primary title showcasing sector-based verticality features. A second game called Outlaws followed years later with updated rendering capabilities, making these the only two titles to utilize the Jedi Engine during its active period.
LucasArts decided to move away from the Jedi Engine because its limitations prevented full three-dimensional movement and rendering. The team built the Sith engine to replace the older technology entirely since Ray Gresko's creation lacked the ability to handle complex overlapping environments efficiently.
Most object graphics appeared as two-dimensional sprites instead of fully modeled polygons while designers manipulated 256-color palette files to generate atmosphere manually. Artists pre-rendered these sprites in different angles before placing them in levels to allow for detailed character models despite the lack of real-time 3D geometry.