feat: add GET /api/models endpoint

Returns available Claude models from SDK and the configured default model.

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

worker/index.js

@@ -11,6 +11,20 @@ app.get("/health", (_req, res) => {
   res.json({ status: "ok" });
 });
 
+app.get("/models", async (_req, res) => {
+  try {
+    const conv = query({
+      prompt: ".",
+      options: { model: "claude-sonnet-4-6", allowedTools: [] },
+    });
+    const models = await conv.supportedModels();
+    await conv.return();
+    res.json({ success: true, models });
+  } catch (error) {
+    res.json({ success: false, error: error.message });
+  }
+});
+
 app.post("/process", async (req, res) => {
   const { prompt, system_prompt, model, session_id } = req.body;