there is no 'official' place to download the Trello App for Mac that I know of other than the macOS App Store. I'd recommend that you work with your IT team to install the Trello Desktop App.
Although the web version (trello.con) is very powerful - using Trello via a browser is just as good or even better than the Trello Desktop App. There are also mobile apps.
I hope that helps!
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