Extract doc-approval-core-rs shared HTTP/SSE crate for GTK and CLI

[enricopiovesan]

Summary

• Add shared apps/doc-approval/doc-approval-core-rs crate (send_command, session-scoped dispatch, list_sessions, SSE subscribe_events, discovery)
• Introduce apps/doc-approval Cargo workspace; wire linux-gtk and cli-rust path deps
• Migrate both shells from execute/poll to command dispatch + SSE terminal events

Governing Spec

• 033-http-json-api — app SSE events and sessions
• 059-http-command-dispatch — command dispatch

Project Item

• Closes Extract doc-approval-core-rs: shared Rust crate for linux-gtk + cli-rust #73
• Project 2 item for Extract doc-approval-core-rs: shared Rust crate for linux-gtk + cli-rust #73

Definition of Done

• list_sessions(state: Option<&str>) returns typed vec
• send_command / session-scoped dispatch
• Unit tests: HTTP construction, SSE parsing, session listing parsing
• linux-gtk and cli-rust both depend on this crate
• No GTK or terminal UI imports — platform-neutral

Validation

• cd apps/doc-approval && cargo test -p doc-approval-core-rs -p doc-approval-cli
• bash scripts/ci/repository_checks.sh
• cargo test -p doc-approval-gtk (requires GTK4 sysdeps; not available on this macOS agent host)

Architecture boundary

• UI shells render runtime fields only; transitions owned by Traverse SSE events
• Public HTTP/SSE surfaces only

Checklist

• Issue linked and Project 2 item updated
• Updated AGENTS.md / README.md Ready summary
• No business logic added to UI layer
• CI gates pass locally where applicable

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