There's absolutely never been taught how to act in situations like that in a standard drivers learning process.
Something like learning how to act even when loosing control isn't on any tests, it usually takes about few months at most, skipping bad weather or unexpected conditions is mandatory.
Handbrake won't immediately stop a vehicle, neither will put it in park or turning off the engine as the momentum will still be in the effect, this isn't a bicycle.
As the speedrun this story is, eventually the truth would unfold and Ayana would either snap back to her delusional world or remember it all while carrying the guilt, it was still her fault but that was an accident nobody would predict.
Kana jealousy is at it's peak, from supportive best friend to a homewrecker, knew she would abuse Ayana psychotic breakdown eventually to get closer with Riku, sadly it's unrequited love once again.