The winning startup in a contest announced by Capital Factory this week will obtain $100,000 in seed funding to move to Austin and receive a year of free mentorship, server hosting and coworking-facility space. “Austin has emerged as one of the hottest startup hubs in the country — but we need a breakout company to take us to the next level,” said Hugh Forrest, the South by Southwest Conference & Festivals chief programming officer, in a statement. “With so much brainpower in this ecosystem,…