Graduate to the CISSP. It is a management certification, but for the last 20 years it has been considered the gold standard for information security employment, and that is likewise reflected in federal government employment.
If you want to work in any relation to the DOD you will need a security clearance. If you have a regular federal background check that is active you are immediately more employable than other people. If you have a secret you are supremely more employable than other people. If you have a TS you are more employable than having a secret and can demand a much higher salary as a contractor, but to use a TS you will likely have to work on site at a SCIF.
A graduate degree and prior military experience in a leadership capacity seem to be equally weighted for consideration in federal employment and are supremely beneficial. A graduate degree is more practical as military experience alone will not provide career elevation.
Specifically for Cyber offense/security jobs you need to aware of CVE reports, reporting processes, mitigation, and security operations. It's absolutely more administrative and operational than technical, but technical skills are nonetheless essential for consideration. You will also want to look at the GSEC certifications, but those are ridiculously expensive.
A TS absolutely requires singular US citizenship. I have met many soldiers that were happy to revoke their dual-citizenship status to advance their career in the US military. I can also fully understand and appreciate why a person would not want to do that.
Java, Spring Boot, Angular 1 & 2, React, CSS design tokens like Tailwind or Bootstrap, Oracle DB, MySQL, PostgreSQL, AWS and AWS Gov Cloud, Amazon SQS, Kubernetes, Rancher, New Relic, GitHub and GitHub Actions, Service Now, Confluence, Jira, and so on.
Study up and understand AGILE workflows, and a 2 week 10 business day sprint working cycles. Then tie that back into continuous integration/continuous deployments mentioned above.
If you get a grasp of everything I mentioned above and build out your LinkedIn and resume with all of those skills, multiple recruiters will be in your inbox on a daily basis.
Thanks.