The jury is set to begin deliberations today in the breach of contract trial involving Garth Brooks and the largest health care system in Oklahoma.   "It looks like we're in for the long haul,"  Garth told Tulsa World yesterday, after exiting the courtroom with wife Trisha Yearwood.   "They are holding true to their thing about they are going to make it as hard as they possibly can on us,"   he said. "But I'm not here for me. I'm here for my mom. And I'm not going to stop."   Read more here.    Garth is suing Integris Rural Health Inc.  saying they failed to put his mother's name, Colleen Brooks, on a new women's center in his hometown of Yukon, in exchange for his $500,000 donation.  Garth says after a number of meetings and phone calls, a verbal agreement was reached in 2005, the center wasn't built, now Garth wants his money back plus punitive damages.   Colleen Brooks died of complications from cancer in 1999.    "The proceedings have shown that there were ideas that were talked about," Integris spokesman Hardy Watkins said. "But there was not confirmation on both sides that an agreement existed."   Garth says after a number of meetings and phone calls, a verbal agreement was reached in 2005.