Recommend @opentelemetry/api instead of @vercel/otel reexport (#48013)

- remove vscode folder from example
- recommend `@poentelemetry/api` over `@vercel/otel`

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fix NEXT-959

docs/advanced-features/open-telemetry.md

@@ -56,13 +56,16 @@ To see more spans, you must set `NEXT_OTEL_VERBOSE=1`.
 
 ## Custom Spans
 
-OpenTelemetry enables you to add your own custom spans to trace using official OpenTelemetry APIs.
-Our package `@vercel/otel` exports everything from `@opentelemetry/api` so you don't need to install anything.
+You can add your own span with [OpenTelemetry APIs](https://opentelemetry.io/docs/instrumentation/js/instrumentation).
+
+```bash
+npm install @opentelemetry/api
+```
 
 The following example demonstrates a function that fetches GitHub stars and adds a custom `fetchGithubStars` span to track the fetch request's result:
 
 ```ts
-import { trace } from '@vercel/otel'
+import { trace } from '@opentelemetry/api'
 
 export async function fetchGithubStars() {
   return await trace
@@ -77,8 +80,6 @@ export async function fetchGithubStars() {
 }
 ```
 
-More documentation can be found in [OpenTelemetry docs](https://opentelemetry.io/docs/instrumentation/js/instrumentation/).
-
 The `register` function will execute before your code runs in a new environment.
 You can start creating new spans, and they should be correctly added to the exported trace.
 

examples/with-opentelemetry/.vscode/settings.json

@@ -1,4 +0,0 @@
-{
-  "typescript.tsdk": "../../node_modules/.pnpm/typescript@4.7.4/node_modules/typescript/lib",
-  "typescript.enablePromptUseWorkspaceTsdk": true
-}

examples/with-opentelemetry/package.json

@@ -8,6 +8,7 @@
   },
   "dependencies": {
     "@vercel/otel": "latest",
+    "@opentelemetry/api": "^1.4.1",
     "next": "latest",
     "react": "^18.2.0",
     "react-dom": "^18.2.0"

examples/with-opentelemetry/shared/fetch-github-stars.ts

@@ -1,4 +1,4 @@
-import { trace } from '@vercel/otel'
+import { trace } from '@opentelemetry/api'
 
 export async function fetchGithubStars() {
   return await trace