The id returned by the ring-out API is the telephony session id. Unfortunately, the telephony session id is not a filter parameter of the read call log so you cannot use the telephonySessionId directly to read the record. There are 2 options:

1. Read the call log with a short date/time range after the ring-out call terminated. Then search for the telephonySessionId from the call log result to find the call log of that call.

2. Implement telephony session even notification to capture telephony session events. When you receive a telephony session event, match the telephonySessionId in the event with the id you received from the ring-out call to identify the call, then use the sessionId in the event to read the call log record of that call.

You can also read this blog for an alternative way to detect and access call recording.