How long are you expecting the research phase to take?

I mean, honestly, trying avoid either snark or boosterism, this seems like a challenge akin to getting to level 5 self-driving cars but with a payoff a good deal less. I am both honestly interested in efforts to do things like this but also very much in awe at the hurdles such problems present.

We don't have humanoid robots that easily occupy the same space with a human, in the fashion that humans interact with each other daily without one human swinging their elbow into the face of another. Solving that problem is a big deal (it holds back things like medical transport robots). Shaving a person seems a more intense version of this problem - the problem isn't the raw dexterity of the robot but it's ability adjust to and even anticipate a person's micro bodily adjustments (oh, also adjust to the unique physical properties of a given person hair, properties that can even by the part of the body - I have curly patches in places, etc).

Despite my general pessimism here, I'd be interested in what tool you imagine could get there.

Edit: And one could solve this problem also with something akin to auto-adjusting helmet, so you essentially extend the logic of the plastic guards that keep clippers a fixed distance from the head - the problem here is you'd wind-up building an extremely complex machine without much guarantee of giving a good haircut (the simple motions of a barber conceal an awareness of what their object is and it isn't hair all the same length - an average person use guarder clippers to get that and literally not pretty).