feat: Split analysis-only and runtime-only CheckErrors

[francesco-stacks]

Description

WIP: currently the CommonCheckErrorKind enum is public, but should become private and invisible to users of the clarity-types and clarity crates

Applicable issues

• fixes #

Additional info (benefits, drawbacks, caveats)

Checklist

• Test coverage for new or modified code paths
• Changelog is updated
• Required documentation changes (e.g., docs/rpc/openapi.yaml and rpc-endpoints.md for v2 endpoints, event-dispatcher.md for new events)
• New clarity functions have corresponding PR in clarity-benchmarking repo