The Trolley Problem is a moral paradox presenting a moral dilemma. It hasn't been 'solved.' The "path you should take" is determined by human decision when confronted with an ethical dilemma.
Software doesn't "solve" the problem. It implements the solution its designers choose. It takes the decision out of the human's, in this case the driver's, hands.
Your answer does not remove ethics and value judgements from driving, it merely changes who determines them.
The Trolley Problem is a decision tree. You decide what’s important, and decide accordingly, it’s a best case of a bad situation matrix. In practical reality, not the hokey artificiality of your theoretical, it very much is solved. Every chess program ever written has solved it. Every war game. It’s actually pretty easy: buy time.
There is NO ethical value judgement while driving. You do NOT run into any version of the Trolley Problem while driving. And even if you did you wouldn’t have any time to realize it until it was too late. Your average accident avoidance situation happens in a distance of 100 to 200 feet, at 40MPH you cover that distance in 2 to 4 seconds. By the time you think “should I hit the little old ladies or the baby” you’ve probably already run over whichever one you were pointing at. You DO NOT face trolley problems EVER. And pretending you do just to complain about coming technology is silly.