Sounds like the internal network is using self-signed certificates for SSL traffic. You will need to obtain the root certificate and add it to Studio Pro. You can do this by opening App Settings and navigating to the Certificates tab and import the certificate. Note that the certificate is only used when running in Studio Pro, the certificate would need to be added to any non-local environments to the Java keystore.
The someone in the IT Department should be able to provide you the root certificate, only the public key is needed. If they are unable to provide it, use a web browser such as Chrome or Edge and browse to the URL, you can then inspect and export the certificate using the lock icon in the address bar.
In some networks, all SSL traffic is decrypted, inspected then re-encrypted with an internal certificate, if this is the case you may also need to add the certificate to the local java keystore on the machine running Studio Pro, I find this is only necessary if you are using Gradle for builds.