[OV JS] Fix package.json files (#23304) (#23305)

Port of: https://github.com/openvinotoolkit/openvino/pull/23304

### Details:
 - Remove unnecessary run
 - Fix run unit tests command
 - Update min Node.js version in samples

samples/js/node/package-lock.json

@@ -17,12 +17,12 @@
         "openvino-node": "file:../../../src/bindings/js/node/"
       },
       "engines": {
-        "node": ">=18.16.0"
+        "node": ">=20.5.1"
       }
     },
     "../../../src/bindings/js/node": {
       "name": "openvino-node",
-      "version": "2024.0.0-14428.dev20240212",
+      "version": "2024.0.0",
       "dev": true,
       "hasInstallScript": true,
       "license": "Apache-2.0",

samples/js/node/package.json

@@ -14,6 +14,6 @@
     "lint": "eslint ."
   },
   "engines": {
-    "node": ">=18.16.0"
+    "node": ">=20.5.1"
   }
 }

src/bindings/js/node/package.json

@@ -18,9 +18,9 @@
     "build": "npm run tsc",
     "prepare": "npm run build",
     "lint": "eslint .",
-    "test": "node --test ./tests/",
+    "test": "node --test",
     "tsc": "tsc",
-    "postinstall": "npm run install_runtime && npm run build",
+    "postinstall": "npm run install_runtime",
     "download_runtime": "node ./scripts/download_runtime.js",
     "install_runtime": "npm run download_runtime -- --ignore-if-exists"
   },