You can get a glimpse by scrolling websites like:
https://www.darpa.mil/opencatalog?ppl=view200&sort=title&ocF... [.mil] and looking at DARPA and Office of Naval Research sponsored ML/AI research. The military has been deeply involved with ML/AI research since its inception, and it is near impossible to avoid first - or second degree involvement, if active in ML/AI.
The military wants: automated chat agents/web users that can be sent to dark web markets and hacker IRC channels and report back intelligence. Common sense inference from security and drone footage: predict who the killer is when watching a movie. Author deanonimization and cross-device tracking. Global-scale 99.9%+ accurate face detection.
The Dutch Intelligence Agency organizes a yearly competition with difficult codes to crack. [1] It is rare for someone to answer all questions correctly. The answers require logic, creativity, common sense, linguistics, causal inference, spatial reasoning, expertise, analysis, and systematic thinking. I bet the military would be mighty interested in an automated problem solver for that. And mighty scared some other country gets there first.
[1] https://www.aivd.nl/onderwerpen/aivd-kerstpuzzel