Product Roundup #26: remembered repos and branches, a Studio dashboard widget and parent/variant search

A round of smaller improvements across Studio, the admin UI and developer tooling.

Studio and AI Improvements

• Remember last repo and branch per project: The repo and branch selectors now remember your last choice within each project.
• Specify elements for prompt: You can now choose which elements to include as context when crafting a prompt.
• Studio widget on the dashboard: Access Studio directly from the main dashboard without navigating to a separate section.
• Updatable Studio job owner: Job ownership can now be reassigned after creation.

Admin UI and Data Management

• Search for parent/variant records: New record actions let you quickly find a product's parent or its variants directly from the list view.
• Nesting sidebar on the Response tab: Block nesting information is now visible directly on the Response tab for easier debugging.
• Feed schema update button: A new button lets you trigger a feed schema refresh on demand.

Developer Tooling

• TypeScript fix for tree companion schemas: Generated client code for tree companion schemas now produces valid TypeScript.