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I can't see how that's even remotely possible, unless the connector is bent and the shielding of it is hitting something on the board when you're plugging it in. If it's plugged in and pointed left there's nothing for it to hit. If it's pointed left and up a bit, it can hit the left side of C52 which would cause the 3.3v rail to short to ground, and U3 provides that 3.3v rail.
You can try desoldering the antenna (on the button/power board side) and unplug it, see if it's shorted internally. If it's not, then leave it desoldered and see if the short is there when it's plugged in. Unless that MCU is beyond fragged, or there's some solder splash in some really wierdo place, I still can't see how that's causing a short on the 3.3v rail when plugged in. Are we talking dead short, like 0 ohms? or a few ohms of short when it's plugged in? Does anything else get warm besides U3? You can hit the board with some rubbing alcohol here and there and see if it evaporates quicker from any components.