V_IN / BAT_IN is where you'd connect a battery - the Pico will use the battery power when USB is disconnected, and when USB is connected it'll use that.
V_out / VBAT is the output voltage. It's USB power (minus the diode voltage drop) when USB is connected, or when it's disconnected it is the battery power from V_IN / BAT_IN
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I think @allObjects covered this nicely, but the naming on the pinout page at https://www.espruino.com/Pico#pinout makes this less confusing than the board's markings...
V_IN / BAT_IN
is where you'd connect a battery - the Pico will use the battery power when USB is disconnected, and when USB is connected it'll use that.V_out / VBAT
is the output voltage. It's USB power (minus the diode voltage drop) when USB is connected, or when it's disconnected it is the battery power fromV_IN / BAT_IN