peel off the old tape and use narrow tape to apply the new stuff :-)

I have a 150mm roll of kapton tape - the big issue is the stuff is incredibly thin. And applying it to the build plate within the machine is amazingly difficult. It would be easier to apply to a removeable plate.

But as has been mentioned it's easier to repair in thinner strips. I actually use 1inch pet tape.
And generally wait untill there's no printing space left on the bed before replacing. But often it'sa easier to just peel off a damaged strip and stick a new one on.