chore: update dependencies and untrack agent files

[YKDZ]

Summary

• Recursively update workspace dependencies and pnpm to 11.6.0
• Replace deprecated lucide-vue-next usage with @lucide/vue
• Add pnpm peer rules for known zod/tailwind peer metadata gaps
• Remove .claude agent files from Git tracking while keeping local ignored assistant files
• Adjust the WebSocket RPC type assertion for the upgraded oRPC contract

Local verification

• pnpm install --frozen-lockfile
• pnpm peers check
• pnpm outdated -r
• moon ci :test :lint :typecheck :fmt --quiet
• moon exec :test :lint :typecheck :fmt --on-failure continue --upstream deep --quiet