fix: added small fixes

Author: PavelKorobchuk

auth4genai/snippets/get-started/langchain-next-js/async-auth.mdx

@@ -116,7 +116,7 @@ export const getAccessToken = async () => {
 };
 ```
 
-Update the `/src/app/api/chat/[..._path]/route.ts` file with the following code. AccessToken will be passed to your LangGraph agent so we can use it from the Auth0 AI SDK to get the current user.
+Update the `/src/app/api/chat/[..._path]/route.ts` file with the following code. The access token will be passed to your LangGraph agent so we can use it from the Auth0 AI SDK to get the current user.
 
 ```ts src/app/api/chat/[..._path]/route.ts wrap lines highlight={3,9-13}
 import { initApiPassthrough } from "langgraph-nextjs-api-passthrough";
@@ -137,9 +137,9 @@ export const { GET, POST, PUT, PATCH, DELETE, OPTIONS, runtime } =
 
 ### Add Custom Authentication
 <Info>
-For more information on how to add custom authentication for your LangGraph Platform application, see the [Custom Auth](https://langchain-ai.github.io/langgraphjs/how-tos/auth/custom_auth/) guide.
+For more information on how to add custom authentication for your LangGraph Platform application, read the [Custom Auth](https://langchain-ai.github.io/langgraphjs/how-tos/auth/custom_auth/) guide.
 </Info>
-In your langgraph.json, add the path to your auth file:
+In your `langgraph.json`, add the path to your auth file:
 ```typescript langgraph.json wrap lines highlight={8}
 {
   "node_version": "20",

auth4genai/snippets/get-started/langchain-next-js/auth-for-rag.mdx

@@ -182,9 +182,9 @@ export const getUser = async () => {
 
 ### Add Custom Authentication
 <Info>
-For more information on how to add custom authentication for your LangGraph Platform application, see the [Custom Auth](https://langchain-ai.github.io/langgraphjs/how-tos/auth/custom_auth/) guide.
+For more information on how to add custom authentication for your LangGraph Platform application, read the [Custom Auth](https://langchain-ai.github.io/langgraphjs/how-tos/auth/custom_auth/) guide.
 </Info>
-In your langgraph.json, add the path to your auth file:
+In your `langgraph.json`, add the path to your auth file:
 ```typescript langgraph.json wrap lines highlight={8}
 {
   "node_version": "20",
@@ -197,7 +197,7 @@ In your langgraph.json, add the path to your auth file:
   }
 }
 ```
-Then, in your auth.ts file, add your auth logic:
+Then, in your `auth.ts` file, add your auth logic:
 ```typescript src/lib/auth.ts wrap lines
 import { createRemoteJWKSet, jwtVerify } from "jose";
 

auth4genai/snippets/get-started/langchain-next-js/call-others-api.mdx

@@ -211,9 +211,9 @@ export const { GET, POST, PUT, PATCH, DELETE, OPTIONS, runtime } =
 
 ### Add Custom Authentication
 <Info>
-For more information on how to add custom authentication for your LangGraph Platform application, see the [Custom Auth](https://langchain-ai.github.io/langgraphjs/how-tos/auth/custom_auth/) guide.
+For more information on how to add custom authentication for your LangGraph Platform application, read the [Custom Auth](https://langchain-ai.github.io/langgraphjs/how-tos/auth/custom_auth/) guide.
 </Info>
-In your langgraph.json, add the path to your auth file:
+In your `langgraph.json`, add the path to your auth file:
 ```typescript langgraph.json wrap lines highlight={8}
 {
   "node_version": "20",
@@ -226,7 +226,7 @@ In your langgraph.json, add the path to your auth file:
   }
 }
 ```
-Then, in your auth.ts file, add your auth logic:
+Then, in your `auth.ts` file, add your auth logic:
 ```typescript src/lib/auth.ts wrap lines
 import { createRemoteJWKSet, jwtVerify } from "jose";
 

auth4genai/snippets/get-started/langchain-next-js/call-your-api.mdx

@@ -76,9 +76,9 @@ export const { GET, POST, PUT, PATCH, DELETE, OPTIONS, runtime } =
 
 ### Add Custom Authentication
 <Info>
-For more information on how to add custom authentication for your LangGraph Platform application, see the [Custom Auth](https://langchain-ai.github.io/langgraphjs/how-tos/auth/custom_auth/) guide.
+For more information on how to add custom authentication for your LangGraph Platform application, read the [Custom Auth](https://langchain-ai.github.io/langgraphjs/how-tos/auth/custom_auth/) guide.
 </Info>
-In your langgraph.json, add the path to your auth file:
+In your `langgraph.json`, add the path to your auth file:
 ```typescript langgraph.json wrap lines highlight={8}
 {
   "node_version": "20",
@@ -91,7 +91,7 @@ In your langgraph.json, add the path to your auth file:
   }
 }
 ```
-Then, in your auth.ts file, add your auth logic:
+Then, in your `auth.ts` file, add your auth logic:
 ```typescript src/lib/auth.ts wrap lines
 import { createRemoteJWKSet, jwtVerify } from "jose";