There seem to be many paths to start learning GCP, Azure, and AWS towards a certification path
What is this community's opinion on the best way to start out for someone who wants to be able to support their customers better running products in cloud environments?
Take the basic training online free.
Try to deploy your app. See what problems you have. Do some research.
You might be able to find paid training or a consultant to speed up your understanding of the cloud environment into which your customers are deploying, but I'd wait until you have some base level of understanding first.