fix: the take-home sheet gives a reasoning model room to think and still write

The 1,800-token ceiling was spent entirely on hidden reasoning, so the
sheet came back empty. Same budget as the answer path now, with one retry
at a larger budget if the reply is still blank.

Co-Authored-By: Claude Fable 5.1 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01Dv6sqaY6Vq3ChZHMem3cnU

src/utils/patientTakehome.js

@@ -27,14 +27,23 @@ async function generatePatientTakehome(opts) {
     { role: 'system', content: behavior },
     { role: 'user', content: 'Clinical answer:\n' + answer + '\n\nWrite the patient take-home sheet now.' }
   ];
+  // The budget covers the model's hidden reasoning as well as the sheet. At
+  // 1,800 tokens a reasoning model (DeepSeek flash spent 8,400 characters
+  // thinking about a discharge sheet) hit the limit before writing a word and
+  // the user saw "empty take-home sheet". Same ceiling as the answer path,
+  // and one retry with more room when the reply still comes back empty.
   var ai;
+  var budgets = [5000, 9000];
+  for (var attempt = 0; attempt < budgets.length; attempt++) {
     try {
-    ai = await opts.callAI(messages, assistantGenerationOptions({ model: opts.model || undefined, temperature: 0.15, maxTokens: 1800 }));
+      ai = await opts.callAI(messages, assistantGenerationOptions({ model: opts.model || undefined, temperature: 0.15, maxTokens: budgets[attempt] }));
     } catch (err) {
       err = err || new Error('Take-home generation failed');
       if (!err.statusCode && !err.response) err.statusCode = 502;
       throw err;
     }
+    if (ai && String(ai.content || '').trim()) break;
+  }
   var text = stripCitationTokens(ai && ai.content || '').slice(0, MAX_RESULT_CHARS);
   if (!text) { e = new Error('The model returned an empty take-home sheet'); e.statusCode = 502; throw e; }
   return { text: text, model: ai.model || null, provider: ai.provider || null };