fix(docs): apply clarity fixes for livekit testing from feedbacks

* clearer wording and ordering on client token versus openid token
* provide outputs for curl examples

docs/calls/livekit.mdx

@@ -242,15 +242,18 @@ rtc:
 
 ## Testing
 
-To test that LiveKit is successfully integrated with Continuwuity, you will need to replicate its [Token Exchange Flow](https://github.com/element-hq/lk-jwt-service?tab=readme-ov-file#%EF%B8%8F-how-it-works--token-exchange-flow). First, request an OpenID token from your Matrix server:
+To test that LiveKit is successfully integrated with Continuwuity, you will need to replicate its [Token Exchange Flow](https://github.com/element-hq/lk-jwt-service#%EF%B8%8F-how-it-works--token-exchange-flow).
 
-```bash
+First, you will need an access token for your current login session. These can be found in your client's settings or obtained via [this website](https://timedout.uk/mxtoken.html). 
-curl -X POST -H "Authorization: Bearer <session-access-token>" \
+
+Then, using that token, request another OpenID token for use with the lk-jwt-service:
+
+```console
+~$ curl -X POST -H "Authorization: Bearer <session-access-token>" \
   https://matrix.example.com/_matrix/client/v3/user/@user:example.com/openid/request_token
+{"access_token":"<access-token>","token_type":"Bearer","matrix_server_name":"example.com","expires_in":3600}
 ```
 
-Your `<session-access-token>` can be found in your client's settings, or via [this website](https://timedout.uk/mxtoken.html). The step above will respond with an `access_token` for use with the lk-jwt-service.
-
 Next, create a `payload.json` file with the following content:
 
 <details>
@@ -278,22 +281,23 @@ Replace `matrix_server_name` and `claimed_user_id` with your information, and `<
 
 </details>
 
-You can then send this payload to the lk-jwt-service with:
+You can then send this payload to the lk-jwt-service:
 
-```bash
+```console
-curl -X POST -d @payload.json https://livekit.example.com/get_token
+~$ curl -X POST -d @payload.json https://livekit.example.com/get_token
+{"url":"wss://livekit.example.com","jwt":"a_really_really_long_string"}
 ```
 
-The JWT service will respond with a `jwt` token. Use this token to test at the [LiveKit Connection Tester](https://livekit.io/connection-test) - if everything works there, then you have set up LiveKit successfully!
+The lk-jwt-service will, after checking against Continuwuity, answer you with a `jwt` token to create a LiveKit media room. Use this token to test at the [LiveKit Connection Tester](https://livekit.io/connection-test). If everything works there, then you have set up LiveKit successfully!
 
 ## Troubleshooting
 
-To debug any issues, initiate a call and check the container logs for any specific errors. You can also enable Element Call's developer mode to check for further details such as your SFU's URL in there.
+To debug any issues, initiate a call and check the container logs for any specific errors. You can also enable Element Call's developer mode to check for further details, such as your SFU's URL.
 
 ### Common errors in Element Call
 
 - `MISSING_MATRIX_RTC_FOCUS`: Livekit is missing from Continuwuity's config file
-- "Waiting for media" popup: Livekit is configured in Continuwuity, but your client cannot connect to it for some reason
+- "Waiting for media" popup always showing: Livekit is configured in Continuwuity, but your client cannot connect to it for some reason
 
 ### Docker networking issues