By Kristina Cooke, Ted Hesson and Mica Rosenberg BROWNSVILLE, Texas (Reuters) – Jose Manuel, a Venezuelan asylum seeker, boarded the Chicago-bound charter bus in Brownsville, Texas, a town on the U.S.-Mexico border, at around 7 a.m. on a late October morning, his journey paid for by the state of Texas. Jose Manuel, whose full name is being withheld for security reasons, was among some 100,000 migrants the Republican-led state of Texas has bused to Democratic cities since April 2022. After passing an initial asylum screening in detention, Jose Manuel was released and had planned to head to Sout…