Extract organization, member, and invitation CLI domains

[sdairs]

Closes #382

Summary

• Extract organization, member, and invitation clap contracts, dispatch, handlers, builders, output, client wrappers, and tests into one organization-access module.
• Preserve legacy positional organization IDs and pin all moved write classifications through the real top-level CLI parser.
• Keep organization lookup wrappers available to shared resolution and service deletion.
• Remove the moved code from generic cloud CLI, client, commands, and dispatch modules without behavior changes.

Tests

• cargo fmt --all
• cargo check --workspace --all-features
• cargo test -p clickhousectl
• cargo clippy -p clickhousectl --all-targets -- -D warnings

[Copilot]

Pull request overview

This PR refactors the ClickHouse Cloud CLI by extracting the organization, member, and invitation command surface (clap contracts), dispatch, handlers, CloudClient wrappers, output helpers, and associated tests into a dedicated cloud::organizations module, aiming to preserve existing behavior while improving domain isolation.

Changes:

• Added crates/clickhousectl/src/cloud/organizations.rs to host org/member/invitation clap enums, dispatch runners, handlers/builders, and domain-local impl CloudClient.
• Updated cloud runtime dispatch (cloud/mod.rs) to route org/member/invitation commands through the new module.
• Removed the extracted org/member/invitation logic from generic cloud modules (cloud/commands.rs, cloud/client.rs, cloud/cli.rs) and relocated relevant tests.

Reviewed changes

Copilot reviewed 5 out of 5 changed files in this pull request and generated 2 comments.

Show a summary per file

File	Description
crates/clickhousectl/src/cloud/organizations.rs	New domain module containing org/member/invitation CLI contracts, handlers, CloudClient wrappers, and tests.
crates/clickhousectl/src/cloud/mod.rs	Dispatch now delegates org/member/invitation execution to cloud::organizations.
crates/clickhousectl/src/cloud/commands.rs	Removed org/member/invitation handlers/builders and related tests after extraction.
crates/clickhousectl/src/cloud/client.rs	Removed org/member/invitation CloudClient wrapper methods moved into cloud::organizations.
crates/clickhousectl/src/cloud/cli.rs	Re-exported org/member/invitation clap enums from cloud::organizations and delegated write classification to the extracted enums.

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[iskakaushik]

LGTM