Headphone Cord Organizer Tidy The Plastic On My Headphone Cord Split, How Can I Repair It Safly Without Electrical Tape?

The plastic on my headphone cord split, how can i repair it safly without electrical tape? - headphone cord organizer tidy

The headset still works. Are dangerous son naked.>?
I medical tape and hockey tape and wood glue.
I was just in the vicinity of the plastic in place. Or I need new headphones?