If extraterrestrial life was discovered with properties that are unlike any of the three domains on Earth, there would be a possibility that a new category or level of classification could be added to the existing list to classify it. However, it would depend on the degree of dissimilarity from the existing categories and how different the properties are from those of Earth life. 

It is also worth noting that the current system of classification is based on observable characteristics, such as morphology, behavior, and genetics. If the properties of extraterrestrial life are beyond our current understanding of biology or chemistry, then it is possible that a new system of classification that could account for these properties would need to be developed. 

Overall, the discovery of extraterrestrial life with truly unique properties would likely require some modifications or additions to our current classification system, but the specifics of the changes would depend on the characteristics of the life and how they compare to known life on Earth.
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