Won't turn on - how can I get data?

Hello. Yesterday my surface pro 3 stopped wouldn't turning on. In case it was the battery/power, I tried a couple of different chargers - but both show the pro is charging, and still the screen doesn't turn on. I tried the hard reset by pressing and holding the power button - after about 20 seconds the charger light blinks momentarily before going back to being solid, as if to show the pro is restarting, but still no turning on.

I recently bought a new computer as the pro was getting old, and my concern is not the device, but the data. I last backed up the pro about a month ago. There is data on there I need access to. Is there a way of getting it?

Thank you very much.