W5.9 fix: case-writer timeout floor 300s -> 600s

The enriched prompt (scenes + verbatim + anomalies + witnesses + Dupin
tensions + Sun-Tzu brief) produces a longer bilingual narrative. At 300s
the claude CLI timed out mid-generation (job 945c14f2 failed at 310s).
Raised the floor to 600s; reprocess then completed in 251s with a bolder
closer reflecting the strategic brief.

Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>

investigator-runtime/src/detectives/case_writer.ts

@@ -385,12 +385,15 @@ export async function runCaseWriter(task: CaseWriterTask): Promise<
   const systemPrompt = await readFile(PROMPT_PATH, "utf-8");
   const prompt = buildPrompt(task, scenes, evidence, witnesses, gaps, tensions, brief, lang);
 
-  // Case-writer wants more output budget than the other detectives.
+  // Case-writer wants more time + budget than the other detectives. The
+  // enriched prompt (scenes + verbatim + anomalies + witnesses + tensions +
+  // strategic brief) produces a long bilingual narrative; 300s was too tight
+  // and timed out at the claude CLI. Floor at 600s.
   const llm = await callClaude({
     prompt, systemPrompt,
     model: env.CLAUDE_MODEL,
     allowedTools: [],
-    timeoutMs: Math.max(env.JOB_TIMEOUT_SECONDS, 240) * 1000,
+    timeoutMs: Math.max(env.JOB_TIMEOUT_SECONDS, 600) * 1000,
     budgetCapUsd: task.budget_cap_usd ?? Math.max(env.BUDGET_CAP_USD_PER_JOB, 0.50),
   });
   await audit({