chore: marking example packages private (#1245)

this PR will mark example repos as `private` in their `package.json`

<!-- CURSOR_SUMMARY -->
---

> [!NOTE]
> **Low Risk**
> Low risk: this only adds `"private": true` to example `package.json`
files to prevent accidental publication; it does not change runtime code
or dependencies.
> 
> **Overview**
> Marks multiple SDK example apps as **private npm packages** by adding
`"private": true` to their `package.json` files (Akamai base/EdgeKV,
Cloudflare, Fastly, React Native, Server AI examples, Shopify Oxygen,
Svelte, and Vercel). This reduces the chance of accidentally publishing
these example projects to a registry.
> 
> <sup>Reviewed by [Cursor Bugbot](https://cursor.com/bugbot) for commit
6ace896. Bugbot is set up for automated
code reviews on this repo. Configure
[here](https://www.cursor.com/dashboard/bugbot).</sup>
<!-- /CURSOR_SUMMARY -->

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Author: joker23

packages/sdk/akamai-base/example/package.json

@@ -1,5 +1,6 @@
 {
   "name": "@launchdarkly/akamai-playground",
+  "private": true,
   "version": "1.0.4",
   "description": "",
   "main": "main.js",

packages/sdk/akamai-edgekv/example/package.json

@@ -1,5 +1,6 @@
 {
   "name": "@launchdarkly/akamai-edgekv-playground",
+  "private": true,
   "version": "1.0.4",
   "description": "",
   "main": "main.js",

packages/sdk/cloudflare/example/package.json

@@ -1,5 +1,6 @@
 {
   "name": "@launchdarkly/cloudflare-example",
+  "private": true,
   "version": "0.0.0",
   "type": "module",
   "module": "./dist/index.mjs",

packages/sdk/fastly/example/package.json

@@ -1,5 +1,6 @@
 {
   "name": "@launchdarkly/fastly-example",
+  "private": true,
   "packageManager": "yarn@3.4.1",
   "type": "module",
   "engines": {

packages/sdk/react-native/example/package.json

@@ -1,5 +1,6 @@
 {
   "name": "@launchdarkly/react-native-example",
+  "private": true,
   "version": "0.0.1",
   "main": "index.js",
   "scripts": {

packages/sdk/server-ai/examples/chat-judge/package.json

@@ -1,5 +1,6 @@
 {
   "name": "@launchdarkly/server-sdk-ai-chat-judge",
+  "private": true,
   "version": "1.0.0",
   "description": "Example demonstrating LaunchDarkly AI SDK chat judge functionality for automatically evaluating AI responses",
   "type": "module",

packages/sdk/server-ai/examples/chat-observability/package.json

@@ -1,5 +1,6 @@
 {
   "name": "@launchdarkly/chat-observability-example",
+  "private": true,
   "version": "1.0.0",
   "description": "LaunchDarkly AI SDK chat example with observability plugin",
   "scripts": {

packages/sdk/server-ai/examples/direct-judge/package.json

@@ -1,5 +1,6 @@
 {
   "name": "@launchdarkly/server-sdk-ai-direct-judge",
+  "private": true,
   "version": "1.0.0",
   "description": "Example demonstrating LaunchDarkly AI SDK direct judge functionality for evaluating arbitrary input and output",
   "type": "module",

packages/sdk/server-ai/examples/tracked-chat/package.json

@@ -1,5 +1,6 @@
 {
   "name": "@launchdarkly/tracked-chat-example",
+  "private": true,
   "version": "1.0.0",
   "description": "Example demonstrating LaunchDarkly AI SDK chat functionality with multiple providers",
   "type": "module",

packages/sdk/shopify-oxygen/example/package.json

@@ -1,5 +1,6 @@
 {
   "name": "@launchdarkly/shopify-oxygen-sdk-example",
+  "private": true,
   "packageManager": "yarn@3.4.1",
   "scripts": {
     "build": "tsup",