When you retape the bars that type of bar end cap loads first, then the tape starts and wraps toward the top.
‘back then, there were a few ways to continue, remove the lever body and wrap the tape around the bar clamp was a favorite way, then with a leather gloved hand, take a lighter and heat the tape end and the last bit under the bar near the stem, a deft quick press and pull the tape with the leather glove to protect your hand from the heat to seal the tape closed. Very Pro mechanic.