feat: add reliable persistent Zhizi cloud analysis

[wimi321]

Summary

• adopt the proven LizzieYZY Next Socket.IO/GTP connection model for Zhizi Cloud
• keep one persistent remote KataGo session with reconnect, cancellation, bounded retry, and idle release
• stop analysis by real visits and surface live visits-per-second instead of fixed waiting
• require a real connection probe before switching from local KataGo to Zhizi Cloud
• distinguish expired login, VIP entitlement, worker capacity, network, timeout, and protocol failures
• keep local KataGo as the default and preserve the legacy zz-ikatago spawn fallback

User experience

• login no longer silently switches analysis to remote
• 'Detect and enable' only changes engine mode after a real remote candidate is returned
• failed checks leave local analysis untouched
• cold 28B model startup gets a proper 60-second initialization window
• switching back to local, changing plans, logging out, or quitting cancels work and releases the remote session
• queued and running scheduler work can be cancelled using the original run id
• connection diagnostics show top move, visits, live speed, startup time, analysis time, and session reuse

Verification

• pnpm check
• pnpm check:teacher-quality
• 216 automated tests passed
• packaged Electron UI tested with an isolated user directory
• local real KataGo analysis and automatic winrate generation passed
• invalid/expired token UI flow passed and did not switch away from local mode
• real Zhizi VIP shared-engine login and enable flow passed
• real game position analysis returned candidates, winrate, score lead, and streaming speed
• cancellation and scheduler telemetry passed in the packaged app
• strict two-position Zhizi smoke passed with one persistent connection

Real Zhizi smoke evidence

• engine: vip-share
• connection count: 1
• first position: about 1.0s, D16, 399 visits
• second position: about 0.7s, R14, 1070 visits
• no credentials or tokens are included in this PR

Notes

No credentials, tokens, build artifacts, or user-local design files are included.