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lowest cost chip to provide single digital output upon BT connection

Hello,

I am a hobbyist working on a small party favor gift project where I want the toy to light up as controlled by a BT connection from a smartphone.  There doesn't have to be any serial communication, just output one digital signal.  I know that many BT boards can do this, but I am looking for a very low cost board (hopefully < $1) as I will make possibly 50-100 of these.  If I reduce the requirement to just a single digital output signal upon BT connection, does such a minimal BT receiver exist that can do this at very low cost and is something a hobbyist could incorporate into a simple analog circuit ?

Thanks,

Stephen