Your situation involves personal contact with an object in air (lancet which touched air) which is not a risk for hiv. No worries, because you can't get hiv from personal contact except unprotected penetrating vaginal or anal, neither of which you did and you didn't share hollow needles to inject with which is the only other way to acquire hiv. Analysis of large numbers of infected people over the 40 years of hiv history has proven that people don't get hiv in the way you are worried is a risk.
HIV is a fragile virus in air or saliva and is effectively instantly dead in either air or saliva so the worst that could happen is dead virus rubbed you, and obviously anything which is dead cannot live again so you are good. Blood and cuts would not be relevant in your situation since the hiv has become effectively dead, so you don't have to worry about them to be sure that you are safe.
Your tests were a waste of time, since you were not exposed to hiv. You should find a better doctor than the ones you claim to have spoken to in Bali. Perhaps the government there makes them speak lies but in any event we rely on the opinion of expert doctors so do not pay attention to claims that other people make.
Thanks for the replay. I was in Bali for a vacation. I live in Saudi Arabia, and the hospital is well know hospital. But the doctors I saw wasn't HIV specialist