Revert tool-choice forcing — the Codex regression was strict:null

The GPT-account (Codex) path supports tool calls and worked before; my
forced tool_choice broke it and was the wrong fix. The real regression was
strict:null in the rebuild's tool definitions, which made the endpoint drop
the tool list so the model had nothing to call — a "Done" run that hired no
one. Forcing then turned that silent failure into a red one.

Restore the original "auto" loop (no forced tool_choice, no finish tool) and
keep only the one-line strict:null omission. Codex now receives valid tools
on the working "auto" choice, as in the version that worked.

Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com>

AgentCompany-New/tests/integration/agent-reply.test.ts

@@ -37,7 +37,7 @@ function scriptedTeam(): (input: ProviderToolTurnInput) => Promise<AgentTurnResu
       call("create_task", { title: "Build the booking API", description: "Ship the booking API.", assignee_agent_name: "Dana Lee" }),
       call("send_message", { channel: "engineering", body: `@${handle} you own the booking API — kicking off here.` }),
     ] },
-    { text: "Kickoff complete.", toolCalls: [call("finish", {})] },
+    { text: "Kickoff complete.", toolCalls: [] },
   ];
   return async (input: ProviderToolTurnInput): Promise<AgentTurnResult> => {
     if ((input.instructions ?? "").includes("Dana Lee")) {
@@ -46,11 +46,11 @@ function scriptedTeam(): (input: ProviderToolTurnInput) => Promise<AgentTurnResu
       const threadId = firstUser ? /thread_id="([^"]+)"/.exec(firstUser.text)?.[1] : undefined;
       const turn = dana === 0
         ? { text: "On it.", toolCalls: [call("send_message", { channel: "engineering", body: "On it — booking API design starting now.", ...(threadId ? { thread_id: threadId } : {}) })] }
-        : { text: "Replied.", toolCalls: [call("finish", {})] };
+        : { text: "Replied.", toolCalls: [] };
       dana += 1;
       return { text: turn.text, toolCalls: turn.toolCalls, rawResponseJson: "{}" };
     }
-    const turn = ceoScript[ceo] ?? { text: "done", toolCalls: [call("finish", {})] };
+    const turn = ceoScript[ceo] ?? { text: "done", toolCalls: [] };
     ceo += 1;
     return { text: turn.text, toolCalls: turn.toolCalls, rawResponseJson: "{}" };
   };