feat(primeintellect): prove live multi-turn rollouts

[drewstone]

What changed

• add a live PrimeIntellect v1 execution command using the official Verifiers worker-server path and Docker
• run a real two-participant runtime conversation, privately score both sampled turns, and import the resulting Prime trace
• publish the conversation subpath needed by self-contained environment runners
• reject empty streams and failed terminal events instead of recording empty completed turns

Evidence

• live worker run: reward 1/1, sampled turns 2/2, 253 input tokens, 61 output tokens, 0 trace errors
• full suite: 1,588 passed, 2 skipped
• typecheck, lint, package exports, and official Prime v1 compatibility passed

[tangletools]

✅ Auto-approved drewstone PR — 0e6438bb

This PR was opened by the trusted drewstone account.
The full PR reviewer audit still runs separately and will publish findings if it detects issues.

_{tangletools · auto-approval · reason: drewstone_author · 2026-07-15T15:44:08Z}

[tangletools]

✅ Auto-approved drewstone PR — 50aa35b5

This PR was opened by the trusted drewstone account.
The full PR reviewer audit still runs separately and will publish findings if it detects issues.

_{tangletools · auto-approval · reason: drewstone_author · 2026-07-15T15:49:39Z}