I think that you should not delete them yourself, but seek the help of specialists.
I judge by myself, I would only ruin everything.
Although there is no guarantee that the "experts" will not spoil it. It all depends on the professionalism and rating of a particular company that provides such services. Perhaps you should contact a trusted cleaning company. Who better than they know how carefully you need to handle carpets of different materials and quality. Even if they do not officially provide such services, I think they can make a concession and, as an exception, take up your order. I once applied for a similar service in procarpetrepairs.com.au . I was happy with the result. For your convenience, you can search for similar companies in your area.