The global --output-format json flag already reached prompt-mode responses, but
status and sandbox still bypassed that path and printed human-readable tables.
This change threads the selected output format through direct command aliases
and resumed slash-command execution so status queries emit valid structured
JSON instead of mixed prose.
It also adds end-to-end regression coverage for direct status/sandbox JSON
and resumed /status JSON so shell automation can rely on stable parsing.
Constraint: Global output formatting must stay compatible with existing text-mode reports
Rejected: Require callers to scrape text status tables | fragile and breaks automation
Confidence: high
Scope-risk: narrow
Directive: New direct commands that honor --output-format should thread the format through CliAction and resumed slash execution paths
Tested: cargo build -p rusty-claude-cli
Tested: cargo test -p rusty-claude-cli -- --nocapture
Tested: cargo test --workspace
Tested: cargo run -q -p rusty-claude-cli -- --output-format json status
Tested: cargo run -q -p rusty-claude-cli -- --output-format json sandbox
Not-tested: cargo clippy --workspace --all-targets -- -D warnings (fails in pre-existing runtime files unrelated to this change)
