One approach might be to get into the aws ecosystem where there is a great deal of opportunity for automation and testing.
So consider going for their architect / appdev / devops certifications and then use book, videos, etc. (there are many available, see amazon, etc) to guide your learning path. Once you have all this knowledge on-board you will have learned that there are many opportunities for adding value and improving quality by using automation within the AWS ecosystem such as:
Infrastructure as Code is the Holy Grail of modern development. Aws have a detailed offering with Cloudformation to create controlled, replicable infrastructure. You create templates in YAML/JSON and use them as the method to provision the resources for a given implementation (stack). You can eliminate instance drift with immutable deployments.
The aws Mobile device farm allow you to test both native and mobile web applications on A wide number of Android and Apple devices. You can test both manually and through automation.
Automatic Notification of when things are a bit out of whack. Costs, machines, usage, many metrics
Pretty much any services which describes 'automatically doing x' is an opportunity for an automation engineer, because, at some point, a person needs to write that automation or the parameters to use.
At least for a little longer.