Larry Ellison didn’t join the gaggle of CEOs that traveled with President Trump on his state visit to China. He wasn’t among the guests at a White House dinner Trump hosted with tech titans. He also skipped the UFC event on Trump’s 80th birthday. The Oracle billionaire didn’t need to be at these public events. Ellison, 81, has developed a more-private friendship with Trump that has helped his tech company’s business as well as his son’s effort to assemble a media conglomerate. Key to the relationship: Ellison’s money. Ellison gave roughly $45 million to a political nonprofit group supporting Trump’s…