Your definition supports the OP. All three require 'taking', which doesn't happen with copying
If that’s your argument… it’s unsound linguistics and legally.
Legally the distinction is also clear - transgression of copyright law is specifically given the term "copyright infringement" in law in English speaking countries and in international agreements. A person cannot be convicted of theft for copying information. The US supreme court, among others, ruled on exactly this:
https://en.m.wikipedia.org/wiki/Dowling_v._United_States_(19...