Ceiling fan wiring help
I'm going to assume the extra cable, black and white, goes to a switch. If you're sure the white wire that you just put the black tape on is in the same cable as the always hot black wire, then that white wire is your neutral and will hook to the white wire of you fan. Remove the black tape from that wire right now and wrap it on the other white wire that goes to the switch. Connect the white wire that you just put the tape on to the always hot black wire. Now take the remaining black wire from the switch  and hook it to the black wire from the ceiling fan. Connect the ground wire from the fan to the bare copper wire from the cables.