Cold when it’s supposed to be spring

FTM Being induced 3 weeks early tonight and worried about what to bring baby home in. She’ll only be going from car to hospital and car to home but I live in WI and just got hammered with snow. Do I put her in her short sleeve/pants take-home ourfit with a big cozy blanket tucked around her in car seat or do I need to go out this am and find something warmer? WI weather stinks!!