You can simply cut a small piece depending on how big the damage on the carpet is and glue it on the naked wood.
Cat eating carpet glue.
If they have that they should not do it to the carpet.
A possible root cause of a tape addiction is pica a the condition of cats eating inedible objects.
Why do cats eat tape.
Divert your cat s need to chew toward safer more appropriate things like cat toys inside which you can hide an edible treat or some other appealing item made specifically for cats.
Cats can develop.
Every cat i ve known has been inclined to sniff around and eat fuzz off of the carpet.
Some cats go further and eat shower curtains blankets dirt and other household items.
Sometimes your cats can get their nails deep into the carpet and take off a big piece of it.
A cat licking the carpet may be a little humorous but if he or she is ingesting carpet strands it is time for us to take a look.
To attract your cat to the post you can use fresh or dried cat nip on the post.
Why cats like adhesive specifically is a bit of a mystery one possible explanation is that different cats just have different preferences when it comes to the smells or textures they are attracted to.
Cats can have some strange behaviors and still be within the realm of normal but it is important not to overlook a symptom of a serious issue.
You can use this remaining material as a replacement carpet for cat tree.
Give your cat something else to chew.
Hope this helps your carpet and your cat.
Eating non food materials is called pica.
To keep grass eating cats from sampling houseplants try growing catnip or a small pot of grass for your cat to nibble on.
Polybrominated diphenyl ethers called pbdes are found in plastic computer parts furniture mattresses tv sets and textiles.
Avoid toxins by choosing glue free carpeting that is sewn onto the backing or carpet whose fibers are adhered with nontoxic glue.
In addition to carpet cover some parts of the cat tree with natural sisal rope that many kitties enjoy scratching adding another texture for fluffy to enjoy.
My research for this answer comes from many years of cat ownership.