Pull data off a display damaged Nexus 5

So my nexus 5's screen died and only the right half of it is working. I cannot fix the display so I bought an OTG cable and connected a mouse to type in the passcode but the phone acts crazy and types things on itself therefore blocking the phone. Is there any way to pull data off that phone, it doesn't have TWRP installed so I cannot copy files over to usb through it..HELP

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