In Year $1,$ the Bennetts' $25-$year$-$old daughter, Jane, is a full$-$time student at an out$-$of$-$state university but she plans to return home after the school year ends. In previous years, Jane has never worked and her parents have always been able to claim her as a dependent. In Year $1,$ a kind neighbor offers to pay for all of Jane's educational and living expenses. Which of the following statements is most accurate regarding whether Jane's parents would be allowed to claim Jane as a dependent for Year $1,$ assuming the neighbor pays for all of Jane's support?