Thank you for reaching and apologies for the delayed response here.
Based on your question above.
As you are using Basic Load Balancer, outbound rules cannot be configured as they are not supported for Basic SKU. This is currently documented here.
For the virtual machines added as a backend pool of the Basic Load Balancer. the outbound access is granted by Default outbound access in Azure.
Regarding the connectivity issue above
- Please check if any NSG is blocking the connectivity and create required rules to allow inbound and outbound connectivity.
- Follow the troubleshooting steps here to check internet connectivity from the VM.
Hope this helps. Please let me know if issue still exists. Thank you!