Invalid request: Invalid full instance name

When adding a simple string like 'test' in the 'name:' key for the gcp cloud sql instance name, it returns the following error with the project id automatically prepended (redacted as :

"msg": [
{
"domain": "global",
"message": "Invalid request: Invalid full instance name: :.",
"reason": "invalid"
}

https://github.com/ansible-collections/google.cloud/blob/e7e666dd9307f8e9b19b7a9fd01847a2b885753a/plugins/modules/gcp_sql_instance.py#L830

Using -vvvv does not generate any further errors for this failure.

Inspect plugins/modules/gcp_sql_instance.py around line 830 and reproduce the failure with a simple name such as 'test'. Trace how the project ID and instance name are assembled; done means a valid Cloud SQL instance name is accepted without producing the malformed full name shown in the issue.

Written by the indexing model from the issue text.