Fix npx search and default Codex context to workspace-local AGENTS (#1780)

* Fix npx search query parameter mismatch

* Use workspace-local Codex AGENTS context by default

---------

Co-authored-by: bnb <bnb>

tests/npx-search-query-param.test.ts

@@ -0,0 +1,24 @@
+import { describe, it, expect } from 'bun:test';
+import { readFileSync } from 'fs';
+import { join } from 'path';
+
+const runtimeSourcePath = join(
+  __dirname,
+  '..',
+  'src',
+  'npx-cli',
+  'commands',
+  'runtime.ts',
+);
+const runtimeSource = readFileSync(runtimeSourcePath, 'utf-8');
+
+describe('NPX search query param', () => {
+  it('documents the search endpoint with query param', () => {
+    expect(runtimeSource).toContain('GET /api/search?query=<query>');
+  });
+
+  it('uses query param instead of q param for worker search requests', () => {
+    expect(runtimeSource).toContain('/api/search?query=${encodeURIComponent(query)}');
+    expect(runtimeSource).not.toContain('/api/search?q=${encodeURIComponent(query)}');
+  });
+});