In addition to other acts that may constitute doing business, a nonresident does business in this state if the nonresident:
(1) contracts by mail or otherwise with a Texas resident and either party is to perform the contract in whole or in part in this state;
(2) commits a tort in whole or in part in this state; or
(3) recruits Texas residents, directly or through an intermediary located in this state, for employment inside or outside this state.