fix(cli): resolve CI failures - rustfmt, type mismatch, borrow-after-…

[victor-134]

…move

• Wrap Check match arm in a closure returning Result<()> to fix ? operator errors (main returns ExitCode, not Result)
• Fix clippy needless_borrows_for_generic_args in context.rs
• Update CI workflow to use 'cargo run -p cougr-cli' for correct binary resolution in workspace context
• Apply cargo fmt to all changed files
• Update Cargo.lock with new dependencies (anyhow, regex, serde, serde_json)

[salazarsebas]

Closing — CI is failing on this branch's own target run. Happy to reconsider once it's green.