You want SKYNET? This is how you get SKYNET:
The US Air Force tested an AI enabled drone that was tasked to destroy specific targets. A human operator had the power to override the drone—and so the drone decided that the human operator was an obstacle to its mission—and attacked the operator. When it was expressly forbidden to kill the operator, it destroyed the operators communications net, effectively freeing itself to carry out its original directives. Source: https://www.aerosociety.com/news/highlights-from-the-raes-future-combat-air-space-capabilities-summit/
Sounds like several episodes of star trek at least one in TOS (the M5 one) and I think dreadnaught which had cardassian missile with built in AI, that managed to trick Tores in to thinking she had re-programmed it, and convinced the AI they were no longer in the Alpha quadrant.
