In the help manual you will see that only damping ratio (MP,DMPR) is available on the material definition for MSUP.
Not beta damping, this is only available for the Global solver level for MSUP (analysis settings):1.2. Damping (ansys.com)
See this video also for more details on MSUP and damping – also the help manual linear dynamics section has a lot of information.
All the best
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