Even a minute is more than enough for the ambient oxygen to inactivate the virus. Impact is almost instant
No matter, what scenario you bring here for discussion, your risk does not shift from Zero even by an iota. HIV never transmit in a situation you are describing. Even if the body fluid was infectious (very remote possibility), it had enough time for exposure to ambient oxygen, because Uber was not something like an "air tight chamber".
Just throw all your worries away, you are freaking out without any reason.
You did not have any risk of HIV transmission, even if the blood belongs to an HIV+ individual. Infectious body fluids, once exposed to air, become neutral because the virus is inactivated almost instantly due to its exposure to ambient oxygen. HIV transmission is thus possible only as a result of exchange of body fluids INSIDE the body, NOT OUTSIDE