[0.61.0] Preserve Claude usage probe settings

[Finesssee]

Summary

• Keep the Claude CLI /usage probe settings in one shared helper.
• Preserve --settings {"remoteControlAtStartup":false} for every Windows CLI usage probe path.
• Add deterministic coverage for the exact launch argument composition.

Upstream reference

Ports the Windows analogue of upstream commit e91635fc (Claude /usage settings parity). The existing Windows fetch path converges on the PTY probe; this change centralizes the override at that convergence point.

Validation

• cargo fmt --all -- --check
• cargo test --manifest-path rust/Cargo.toml usage_probe_settings_disable_remote_control_startup --lib --locked

The focused Rust test passed. No full build, dependency install, or generated artifact was run because the worktree is operating under a 50 GiB free-space floor.

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