I had the same issue, just hung on ‘Downloading Wordpress’.
I checked the logs (excerpt below), and there is a reference to the download source, but no obvious error message. I tried downloading from that source manually via browser, and initial attempt failed, subsequent request downloaded successfully.
This is on MacOS and with no firewall running.
For my purposes I have successfully installed a site in localwp from a (kinsta) backup, so will clone that to provision, then delete/overwrite the public folder, reusing database config. Edit: cloning site also hangs, this time on ‘Starting site Services’ - again the last log entry is info:‘Electron Event activate’
{"class":"WordPressInstaller","level":"info","message":"Init WordPressInstaller","thread":"main","timestamp":"2023-12-21T20:06:53.073Z"}
{"class":"WordPressInstaller","level":"info","message":"Starting standardInstall()","thread":"main","timestamp":"2023-12-21T20:06:53.073Z"}
{"class":"WordPressInstaller","level":"info","message":"maybeGetLatestVersion()","thread":"main","timestamp":"2023-12-21T20:06:53.074Z"}
{"class":"WordPressInstaller","latestOfflineWpVersion":null,"level":"info","message":"Latest offline version info","thread":"main","timestamp":"2023-12-21T20:06:53.074Z"}
{"class":"WordPressInstaller","download":"https://downloads.wordpress.org/release/wordpress-6.4.2.tar.gz","level":"info","message":"Latest version info","thread":"main","timestamp":"2023-12-21T20:06:53.592Z","version":"6.4.2"}
{"class":"WordPressInstaller","level":"info","message":"download()","thread":"main","timestamp":"2023-12-21T20:06:53.592Z"}
{"class":"WordPressInstaller","level":"info","message":"Attempting to download WordPress","thread":"main","timestamp":"2023-12-21T20:06:53.593Z"}
{"level":"info","message":"Electron Event activate","timestamp":"2023-12-21T20:07:56.472Z"}