livestream chat doc: typos and small fixes

Author: vladvelici

src/pages/docs/guides/chat/build-livestream.mdx

@@ -93,7 +93,7 @@ const currentTime = Math.round(Date.now() / 1000);
 const claims = {
     "iat": currentTime, /* current time in seconds */
     "exp": currentTime + 14400, /* time of expiration in seconds */
-    "x-ably-capability": "{\"[chat]foo\":[\"publish\", \"subscribe\"]}",
+    "x-ably-capability": "{\"foo\":[\"publish\", \"subscribe\"]}",
     "x-ably-clientId": "your-client-id",
 }
 
@@ -107,9 +107,9 @@ console.log('JWT is: ' + ablyJwt);
 ```
 </Code>
 
-How you authenticate is also key. To balance security and experience, you want short-lived tokens that can be easily revoked if a users is misbehaving or needs their permissions changed, but automatically expire after a period of time. This means that if a token is compromised, it will only be valid for a limited time. **In production apps, you should not use API keys for client-side authentication**. You can use them server-side, but as they are long-lived and require explicit revocation, exposure to untrusted users poses a continuing risk.
+How you authenticate is also key. To balance security and experience, you want short-lived tokens that can be easily revoked if a user is misbehaving or needs their permissions changed, but automatically expire after a period of time. This means that if a token is compromised, it will only be valid for a limited time. **In production apps, you should not use API keys for client-side authentication**. You can use them server-side, but as they are long-lived and require explicit revocation, exposure to untrusted users poses a continuing risk.
 
-With Ably Chat, authentication is best achieved using JSON Web Tokens (JWTs). These are tied to a particular clientID and come with a set of [capabilities](/docs/chat/setup#authentication) that control what a client can and cannot do - for example whether they can send messages, join a certain room or moderate. Ably's SDKs handle the timing and process of requesting a new token for you, refreshing it when it expires. All you need to do is provide a server-side endpoint that can generate the JWT for the client. This enables clients to use your existing authentication systems or user sessions to generate their Ably token.
+Authentication is best achieved using JSON Web Tokens (JWTs). These are tied to a particular clientID and come with a set of [capabilities](/docs/chat/setup#authentication) that control what a client can and cannot do - for example whether they can send messages, join a certain room or moderate. Ably's SDKs handle the timing and process of requesting a new token for you, refreshing it when it expires. All you need to do is provide a server-side endpoint that can generate the JWT for the client. This enables clients to use your existing authentication systems or user sessions to generate their Ably token.
 
 ## Moderation: Protecting your community
 

src/pages/docs/guides/chat/build-task-oriented.mdx

@@ -113,7 +113,7 @@ console.log('JWT is: ' + ablyJwt);
 
 How you authenticate is also key. To balance security and experience, you want short-lived tokens that can be easily revoked if a user is misbehaving or needs their permissions changed, but automatically expire after a period of time. This means that if a token is compromised, it will only be valid for a limited time. **In production apps, you should not use API keys for client-side authentication**. You can use them server-side, but as they are long-lived and require explicit revocation, exposure to untrusted users poses a continuing risk.
 
-With Ably Chat, authentication is best achieved using JSON Web Tokens (JWTs). These are tied to a particular clientID and come with a set of [capabilities](/docs/chat/setup#authentication) that control what a client can and cannot do - for example whether they can send messages, join a certain room or moderate. Ably's SDKs handle the timing and process of requesting a new token for you, refreshing it when it expires. All you need to do is provide a server-side endpoint that can generate the JWT for the client. This enables clients to use your existing authentication systems or user sessions to generate their Ably token.
+Authentication is best achieved using JSON Web Tokens (JWTs). These are tied to a particular clientID and come with a set of [capabilities](/docs/chat/setup#authentication) that control what a client can and cannot do - for example whether they can send messages, join a certain room or moderate. Ably's SDKs handle the timing and process of requesting a new token for you, refreshing it when it expires. All you need to do is provide a server-side endpoint that can generate the JWT for the client. This enables clients to use your existing authentication systems or user sessions to generate their Ably token.
 
 ## Presence: Know who's available for your task