I think to some extent it also depends on what mission qualifies as “combat” and most importantly what level of automation and/or reuse defines “robot”. Presumably single use weapons do not count, anything unmanned with a lot of human intervention is not sufficiently automated, and unarmed reconnaissance is not combat even when you are shot. Otherwise there would be a number of platforms that could be said to be robotic.
Truly automated systems that need little to no human input will likely largely be UUVs and UAVs initially, and probably have limited mission sets at first. But we are already seeing software directed swarming UAVs with sensor and weapons variants being tested by the U.S. Army as part of LE. The IDF has also deployed smart FPV types that map building interiors and optionally command detonate.