Here's redesign of ChatGPT focusing on Chat visibility.
Flow 1: User enters previous chat, Creates new chat , Enters another chat (Color change in type bar indicates a different chat). Views search and Filter options. 

here's Version - A of managing prompts in ChatGPT (From Type bar) (Press "R" to restart flow and "Z" to fit width)

Here's Version -B of managing Prompts in ChatGPT (From sidebar) (Press "R" to restart flow and "Z" to fit width)

Here's the case study of the Project, which includes UX research and ideation process.

Here's the wireframe and design components used in hi-fi designs.

Here's the Report of A/B testing conducted for finding better UX among both the versions of managing prompts.