I had close to twenty years experience when I started working with Azure back in 2008/2009. My organization wasn't using it. I just started learning it on my own. When my organization became interested, I was already well positioned to help. So, I'm definitely not what you're looking for as a model for how to break in to cloud computing.
The thing is, I don't think there are many "cloud roles" let alone entry-level ones. Instead, there are roles that use the cloud, in whole or in part. I'd focus there. DevOps is a growing field. Dig into it hard. Lots and lots of work there, including entry level (especially since so many organizations don't have a clue how to do this stuff). I'm not that familiar with the GCP DevOps tooling, although I know it's pretty decent. AWS has the Developer Tools, CodeCommit, CodeBuild, CodeDeploy, that are really good. AzureDevOps is a thing. Github Actions. GitLab. Even Octopus has a cloud-only version of it's tool. Focus on one of these (not all at once though) and DevOps in general.
Other than that, I agree with Jeff (usually said at least once a day). Contact recruiters. Another approach is to go to local events, Data Saturday, Meetups, whatever, that are cloud-focused, DevOps-focused, or at least cloud & DevOps related. Network. Talk to people. Ask them for work, or at least hints on who is hiring.