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I have a new iMac running Big Sur 11.2 and TT worked for about an hour, then spontaneously quit and now will not reopen.  I purchased TT Home & Business from Costco as a digital download.  did call customer service and they provided me with a new download, but the same problem exists.  Just for kicks I tried to open TT2019 to see what would happen.  It opened and went through a series of updates and then quit and will not reopen.  I think the problem is in Big Sur.  I'm going to try my luck with Apple support.  Pray for me.