I see lots of solid advice and analysis of your mistake(s). One or two car control clinics and a few autocross events will hone your recovery skills much more quickly than trying to learn it all on the track. Yes, you want to do perfect laps, but the reality is that you'll make mistakes and need to be able to recover from them. A couple of hours spent on a good, wet skidpad with good instruction will give you a year's worth of experience driving on the edge and over the edge.
Your slow reaction time tells me, not that you're slow, but you haven't been it that situation enough to make a brain-stem reaction required to adjust for the changing dynamics of the car. A good skid pad can give you the needed experience. Driving at and over the limit in AX also gives much of that needed experience.
Dave
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