Dropped 3rd Strike - Throw to 1st

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Just so we're clear...........I was talking about a dropped 3rd strike that was in front of the catcher behind the plate. BR heads to first, 1st baseman chooses to sets up on orange bag cuz runner is running inside baseline to first I suppose (or was taught this on dropped 3rd strike), catcher picks ball up in front of her behind plate and then throws to first in foul territory.........choice was to do it this way by defense, no errant throws. I suppose you could say ball was in foul territory when catcher moved to foul territory by choice to make throw.

All I'm asking is that.........Is this a play that falls under the white/orange errant throw even if it's intentional?