If extraterrestrial life were discovered with properties unlike any of the three domains on Earth, it would be a significant and groundbreaking discovery. The scientific community would need to assess the characteristics of this new form of life and decide how to best classify it within the current taxonomic system.

One approach could involve creating new domains within the existing list to accommodate the unique properties of extraterrestrial life. This would involve reevaluating our understanding of life and potentially expanding our definition beyond the three known domains (Bacteria, Archaea, and Eukarya).

Alternatively, if the discovered life forms are so fundamentally different from Earth-based life that they cannot be accommodated within the existing hierarchy, scientists might indeed consider adding another level above "domain" to distinguish them from Earth life. This new level could help us better understand the differences between terrestrial and extraterrestrial life forms and also help us better organize our understanding of all living organisms.

Ultimately, the decision would depend on the nature of the discovered life forms and how well they fit into our current understanding of biology. The scientific community would need to collaborate and reach a consensus on how to best classify these new organisms in a way that facilitates further research and enhances our understanding of life across the universe.
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