How to deploy API connections alongside with Logic App Consumption?

Question

I'm setting up a Logic App deployment process for my team.

I'm trying to deploy the Logic App and its API connections (eg. SharePoint, KeyVault) in a GHA workflow, using ARM template JSON files

But I keep getting this deployment BadRequest error for both of the API connections:

{"code":"InvalidRequestContent","message":"The request content is not valid and could not be deserialized: 'Could not find member 'definition' on object of type 'ApiConnectionPropertiesDefinition'. Path 'properties.definition', line 1, position 1083.'."}

I'm confused, because looking at this link on how to deploy Microsoft.Web connections, it doesn't indicate Path 'properties.definition' for its JSON template