Maintenance and change of the Coil Tape on an Humbucker; some advice and guide please

Hello I’m planning doing some maintenance on my axis.
Among all the things to do one that I never have do is: change the coil tape on the humbuckers.

I have thought that placing a new tape over the original one that is somewhat deteriorated is enough. I have read that trying to peel off the original can damage the humbucker

Please if you have some advice, all are welcome !