fix(terminal): identify T3 Code terminal sessions - #9954

💭 I'm checking the Manager.ts file change, which imports package.json and sets the TERM_PROGRAM environment variable for spawned processes. Let me look at the relevant code.

1. browse_code — apps/server/src/terminal/Manager.ts

2. browse_code — apps/server/src/terminal/Manager.ts

💭 This change is small—just a package.json import plus two env var assignments. I'm checking whether this breaks conventions around Effect services; importing package.json as a static version value isn't really a dependency issue, but I should check if there's already an established pattern elsewhere in the repo for referencing app version.

3. browse_code — How is the application/server version obtained elsewhere in the codebase (e.g. imports of package.json, a version constant, or Effect config)? List files and the approach used.

💭 This change follows the existing apps/server conventions with no Effect service violations, and the identity defaults with tests added satisfy the requirement for focused tests on behavioral changes. Since there are no findings, the final response should just be "All clear" on its own line.