AWS_IoT_GSM Cannot get it to connect to broker.

After uploading this example a connection to GSM is made successfully.

After this it just keeps printing a . and keeps on trying to connect to the broker unsuccessfully.

How can I troubleshoot this to find out why it is not connecting to the broker?

### Additional context

#### Additional reports

- https://github.com/arduino/ArduinoCloudProviderExamples/issues/8#issuecomment-1144797251
- https://github.com/arduino/ArduinoCloudProviderExamples/issues/8#issuecomment-1374869069
- https://github.com/arduino/ArduinoCloudProviderExamples/issues/8#issuecomment-1522117167

Start with the AWS_IoT_GSM example and the output showing successful GSM connection followed by repeated broker-connection attempts. Review the linked additional reports for troubleshooting context. Done means identifying the cause of the broker failure and documenting a reproducible troubleshooting path or confirmed connection.

Written by the indexing model from the issue text.