The current CrossTie (released on 2024-01-16) will install Star Wars: The Old Republic into a bottle that installs Steam first. If you already have Steam in a bottle you can just install SWTOR into it or select your current Steam bottle as part of the installer.
The standalone installer no longer works and gives you an error so it was removed as an option as part of this install.
The game was tested on Mac (Intel) running Sonoma (14.2.1) and the game works well with DXVK and Sync enabled.