[AI] [Inference] README sample fixes #30554 (#30563)

### Packages impacted by this PR
@azure-rest/ai-inference

### Issues associated with this PR
#30554

### Describe the problem that is addressed by this PR
sample fixes in README and samples folder

### What are the possible designs available to address the problem? If
there are more than one possible design, why was the one in this PR
chosen?


### Are there test cases added in this PR? _(If not, why?)_


### Provide a list of related PRs _(if any)_


### Command used to generate this PR:**_(Applicable only to SDK release
request PRs)_

### Checklists
- [ ] Added impacted package name to the issue description
- [ ] Does this PR needs any fixes in the SDK Generator?** _(If so,
create an Issue in the
[Autorest/typescript](https://github.com/Azure/autorest.typescript)
repository and link it here)_
- [ ] Added a changelog (if necessary)

sdk/ai/ai-inference-rest/README.md

@@ -223,7 +223,7 @@ async function main(){
   }
   for (const choice of response.body.choices) {
     const completion = choice.message.content;
-    console.log(`Input: ${examplePrompts[promptIndex++]}`);
+    console.log(`Input: ${messages[promptIndex++].content}`);
     console.log(`Chatbot: ${completion}`);
   }
 }
@@ -251,7 +251,7 @@ async function main(){
     ""As a layman I would say: 'I think we have it'. Would you agree?"" Rolf-Dieter Heuer, CERN's director-general, asked the packed auditorium. The physicists assembled there burst into applause.
   :`;
 
-  const summarizationPrompt = [`
+  const summarizationPrompt = `
     Summarize the following text.
 
     Text:
@@ -260,7 +260,7 @@ async function main(){
     """"""
 
     Summary:
-  `];
+  `;
 
   console.log(`Input: ${summarizationPrompt}`);
 
@@ -354,7 +354,7 @@ context -- including the original system and user messages, the response from th
 calls, and the tool messages that resolved each of those tools -- when making a subsequent request.
 
 ```js
-const choice = result.choices[0];
+const choice = result.body.choices[0];
 const responseMessage = choice.message;
 if (responseMessage?.role === "assistant") {
   const requestedToolCalls = responseMessage?.toolCalls;

sdk/ai/ai-inference-rest/samples-dev/streamChatCompletions.ts

@@ -13,6 +13,7 @@ import { createSseStream } from "@azure/core-sse";
 
 // Load the .env file if it exists
 import * as dotenv from "dotenv";
+import { IncomingMessage } from "http";
 dotenv.config();
 
 // You will need to set these environment variables or edit the following values
@@ -21,7 +22,7 @@ const endpoint = process.env["ENDPOINT"] || "<endpoint>";
 export async function main() {
   console.log("== Streaming Chat Completions Sample ==");
 
-  const client = ModelClient(endpoint, new DefaultAzureCredential()));
+  const client = ModelClient(endpoint, new DefaultAzureCredential());
   const response = await client.path("/chat/completions").post({
     body: {
       messages: [
@@ -44,7 +45,7 @@ export async function main() {
     throw new Error(`Failed to get chat completions: ${streamToString(stream)}`);
   }
 
-  const sses = createSseStream(stream);
+  const sses = createSseStream(stream as IncomingMessage);
 
   for await (const event of sses) {
     if (event.data === "[DONE]") {

sdk/ai/ai-inference-rest/samples/v1-beta/javascript/README.md

@@ -64,6 +64,6 @@ Take a look at our [API Documentation][apiref] for more information about the AP
 [imagefilecompletions]: https://github.com/Azure/azure-sdk-for-js/blob/main/sdk/ai/ai-inference-rest/samples/v1-beta/javascript/imageFileCompletions.js
 [streamchatcompletions]: https://github.com/Azure/azure-sdk-for-js/blob/main/sdk/ai/ai-inference-rest/samples/v1-beta/javascript/streamChatCompletions.js
 [toolcall]: https://github.com/Azure/azure-sdk-for-js/blob/main/sdk/ai/ai-inference-rest/samples/v1-beta/javascript/toolCall.js
-[apiref]: https://docs.microsoft.com/javascript/api/@azure-rest/ai-inference
+[apiref]: https://learn.microsoft.com/javascript/api/@azure-rest/ai-inference
 [freesub]: https://azure.microsoft.com/free/
 [package]: https://github.com/Azure/azure-sdk-for-js/tree/main/sdk/ai/ai-inference-rest/README.md

sdk/ai/ai-inference-rest/samples/v1-beta/typescript/README.md

@@ -76,7 +76,7 @@ Take a look at our [API Documentation][apiref] for more information about the AP
 [imagefilecompletions]: https://github.com/Azure/azure-sdk-for-js/blob/main/sdk/ai/ai-inference-rest/samples/v1-beta/typescript/src/imageFileCompletions.ts
 [streamchatcompletions]: https://github.com/Azure/azure-sdk-for-js/blob/main/sdk/ai/ai-inference-rest/samples/v1-beta/typescript/src/streamChatCompletions.ts
 [toolcall]: https://github.com/Azure/azure-sdk-for-js/blob/main/sdk/ai/ai-inference-rest/samples/v1-beta/typescript/src/toolCall.ts
-[apiref]: https://docs.microsoft.com/javascript/api/@azure-rest/ai-inference
+[apiref]: https://learn.microsoft.com/javascript/api/@azure-rest/ai-inference
 [freesub]: https://azure.microsoft.com/free/
 [package]: https://github.com/Azure/azure-sdk-for-js/tree/main/sdk/ai/ai-inference-rest/README.md
 [typescript]: https://www.typescriptlang.org/docs/home.html

sdk/ai/ai-inference-rest/samples/v1-beta/typescript/src/streamChatCompletions.ts

@@ -13,6 +13,7 @@ import { createSseStream } from "@azure/core-sse";
 
 // Load the .env file if it exists
 import * as dotenv from "dotenv";
+import { IncomingMessage } from "http";
 dotenv.config();
 
 // You will need to set these environment variables or edit the following values
@@ -44,7 +45,7 @@ export async function main() {
     throw new Error(`Failed to get chat completions: ${streamToString(stream)}`);
   }
 
-  const sses = createSseStream(stream);
+  const sses = createSseStream(stream as IncomingMessage);
 
   for await (const event of sses) {
     if (event.data === "[DONE]") {