Summary: Cursor updates Agent demo to show GPT-5.2

Why It Matters: The update suggests Cursor is preparing for or simulating next-generation model capabilities within their agentic workflows. This signals a move toward more advanced autonomous coding features.

What Changed:

• Updated the model version in the interactive demo from GPT-5 to GPT-5.2.
• Changed the status text in the demo from "Searched" to "Searching" to show active progress.
• Added new file path breadcrumbs (~/Repos/ml-research-notebook) to the demo interface.
• Removed some redundant footer social links and language selectors from the bottom of the page.