In Captain Marvel, they manage to get the Tesseract, which is the Space Stone, and Fury refused to take it.
Goose the flerken swallowed it, but did not get powers from it.
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Touching (or even swallowing) the Tesseract does not grant powers to the person holding the construct as seen in multiple instances in multiple MCU movies.
The powers are obtained when she absorbed the energy from the exploding light-speed drive installed in her jet fighter after it crashed.
The drive engine was based on Tesseract energy but not dependant on it.
The drive and Tesseract are not the same. The drive was destroyed when Carol shot it (and gained powers from the explosion)...the Tesseract was still in orbit in Mar-Vell's laboratory.
Part of the confusion may lie in that when Yon-Rogg asks about the location of the "core" at the crash site, Carol asks "You mean that core?" and shoots the engine.
Carol, at this point, doesn't know the difference between the engine and the core/Tesseract so it's a natural mistake to make.