test: consolidate plugin provider suites

extensions/exa/src/exa-web-search-provider.test.ts

@@ -1,7 +1,30 @@
 import { describe, expect, it } from "vitest";
+import plugin from "../index.js";
 import { __testing, createExaWebSearchProvider } from "./exa-web-search-provider.js";
 
 describe("exa web search provider", () => {
+  it("registers the web search provider", () => {
+    const registrations: { webSearchProviders: unknown[] } = { webSearchProviders: [] };
+
+    const mockApi = {
+      registerWebSearchProvider(provider: unknown) {
+        registrations.webSearchProviders.push(provider);
+      },
+      config: {},
+    };
+
+    plugin.register(mockApi as never);
+
+    expect(plugin.id).toBe("exa");
+    expect(plugin.name).toBe("Exa Plugin");
+    expect(registrations.webSearchProviders).toHaveLength(1);
+
+    const provider = registrations.webSearchProviders[0] as Record<string, unknown>;
+    expect(provider.id).toBe("exa");
+    expect(provider.autoDetectOrder).toBe(65);
+    expect(provider.envVars).toEqual(["EXA_API_KEY"]);
+  });
+
   it("exposes the expected metadata and selection wiring", () => {
     const provider = createExaWebSearchProvider();
     if (!provider.applySelectionConfig) {