My Turbotax 2019 for Mac no longer opens

It is a Deluxe Turbotax 2019 desktop, running on a MacBook Pro with OS X 10.14 (Mojave). It worked without problems for weeks, until it suddenly crashed. When I try to open the program it shows very  very briefly a banner "please wait while we verify everything is up to date" and then nothing happens. It does not matter  whether I open the program or I double click the file. Restarting does not help. I downloaded again the same program and reinstalled it (replacing the old one) and nothing changed.  I tested, Deluxe Turbotax 2018 desktop and it opens OK, but it cannot read my 2019 return.

I called the Turbotax help desk and the only thing else they suggested is to upgrade to Catalina which I would prefer to avoid (and Turbotax writes it is compatible even with much earlier OS versions!)

What can I do to make Turbotax work?

Can I at least save the content of my 2019 tax return or do I have to start from scratch?