Without even looking at the Aki link, I can say it will lend itself to meticulous practices sure to correct what you did wrong. And you did do it wrong. You should not need new tape unless you cut off a ton before you put the electrical tape on.

Just take it in small steps. Find a nice overlay that lets you get a secure and neat seal with the bar plug. Do overlap less at the end of the bar unless you hold on there regularly. Try to keep the same amount of tension on the tape despite it being so long at the start. Get the inside curve of the drop as symmetrical as possible where you will leaning into it. Use the little area above there to sneak into another low overlap pass that lines up a simpler line around the shifters ( I rewrap this at least a couple times and flip the hoods down in between to critque comfort and aesthetics). Next is another good place to lay it on thicker to match your preferred hand position. From here on in it is just managing the amount of tape left to still get a nice comfort zone on the flat part of the bar.