By chance, Alina, is the surge you're describing upon initial braking happening when the car slows below 10 mph?

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I was wondering the exact same thing ....

In a completely unrelated car model, I recall having to take it in to the shop to have it looked at because it would rev up and want to go faster and I would have to push harder on the brake to make it stop. The mechanic was able to reproduce it and put it in the list of cars to work on that day but that afternoon I got a call saying to come pick up the car no charge. Turned out the floor mat had ridden up and was causing the accelerator to catch and stick slightly depressed. the mechanic was a bit embarrassed that he hadn't caught this in the initial inspection so he didn't even charge a evaluation fee.
I do wonder if you could ask for the records from Honda's inspection of the car to see the exact things they know or found out about the car. I would think that they would have the information that was described as being stored in the "black box". and legally I don't see why they could deny giving you that information.
-13th

my lifetime MPG goal...
45MPG+

Why not just pop the car into neutral or flip the key off? Neutral is propably the easist

The throttle is not mechanical, it's electrical. It's likely in the throttle sensor or computer.