ci(node): run examples in CI (#1796)

This is done as setup for a PR that will fix the OpenAI dependency
issue.

 * [x] FTS examples
 * [x] Setup mock openai
 * [x] Ran `npm audit fix`
 * [x] sentences embeddings test
 * [x] Double check formatting of docs examples

nodejs/examples/filtering.test.ts

@@ -0,0 +1,42 @@
+// SPDX-License-Identifier: Apache-2.0
+// SPDX-FileCopyrightText: Copyright The LanceDB Authors
+import { expect, test } from "@jest/globals";
+import * as lancedb from "@lancedb/lancedb";
+import { withTempDirectory } from "./util.ts";
+
+test("filtering examples", async () => {
+  await withTempDirectory(async (databaseDir) => {
+    const db = await lancedb.connect(databaseDir);
+
+    const data = Array.from({ length: 10_000 }, (_, i) => ({
+      vector: Array(1536).fill(i),
+      id: i,
+      item: `item ${i}`,
+      strId: `${i}`,
+    }));
+
+    const tbl = await db.createTable("myVectors", data, { mode: "overwrite" });
+
+    // --8<-- [start:search]
+    const _result = await tbl
+      .search(Array(1536).fill(0.5))
+      .limit(1)
+      .where("id = 10")
+      .toArray();
+    // --8<-- [end:search]
+
+    // --8<-- [start:vec_search]
+    const result = await (
+      tbl.search(Array(1536).fill(0)) as lancedb.VectorQuery
+    )
+      .where("(item IN ('item 0', 'item 2')) AND (id > 10)")
+      .postfilter()
+      .toArray();
+    // --8<-- [end:vec_search]
+    expect(result.length).toBe(0);
+
+    // --8<-- [start:sql_search]
+    await tbl.query().where("id = 10").limit(10).toArray();
+    // --8<-- [end:sql_search]
+  });
+});