"The application “Crossway.app” can't be opened." (a plain dialog with only an OK button)
This usually means the zip reached your Mac through a chat app, such as WhatsApp or Telegram. macOS won't open an app that a chat app saved. To open Crossway anyway, make sure it is in your Applications folder. Then open Terminal, which is in the Utilities folder inside Applications, paste this command, press Return, and open Crossway again:
xattr -r -d com.apple.quarantine /Applications/Crossway.app
Next time, download the zip in your browser instead of through a chat app, and this won't happen.
"Crossway is damaged and can't be opened."
Your copy of Crossway was changed after it was downloaded, for example re-zipped or only partly copied, so macOS won't open it. To fix it, move Crossway from your Applications folder to the Trash, then download the zip again in your browser.
"Crossway can't be opened because Apple cannot check it for malicious software."
On macOS 15 and later, this message reads "Apple could not verify “Crossway” is free of malware that may harm your Mac or compromise your privacy." Your copy of Crossway was changed after it was downloaded, for example re-zipped by another app or service, so macOS can't confirm it is the real one. To fix it, move Crossway from your Applications folder to the Trash, then download the zip again in your browser.
"Crossway requires macOS 14.0 or later."
Crossway runs on macOS 14 to macOS 27, and this Mac has an older version of macOS. If your Mac can be updated, open System Settings → General → Software Update (on macOS 12 or earlier, System Preferences → Software Update). When the update is done, open Crossway again. Crossway can't run on an older version.
"Crossway was not downloaded from the App Store."
Your Mac is set to open apps from the App Store only. To allow Crossway, open System Settings → Privacy & Security and scroll down to Security. On macOS 15 and later, set "Allow applications from" to App Store & Known Developers. On macOS 14, set "Allow applications downloaded from" to App Store and identified developers. Then open Crossway again.
⌘Tab does nothing.
Crossway turns off macOS's own ⌘Tab while it runs and turns it back on when it quits. If Crossway was force quit, macOS's ⌘Tab stays off until you open Crossway again.
To find which version you have: click the Crossway icon in the menu bar and choose Settings. Your version is shown at the bottom of the Settings window. You can also select Crossway in your Applications folder and press ⌘I. The version is listed in the window that opens.
To check if you have the latest version: click the Crossway icon in the menu bar and choose Check for Updates. Crossway tells you whether you have the latest version. If a newer one is out, it offers to download it in your browser. The Check now button in Settings → General, under Startup and updates, does the same.
To have Crossway check for you: click the Crossway icon in the menu bar and choose Settings. On the General tab, turn on Auto-update under Startup and updates, and choose how often it checks. It is off until you turn it on. When a newer version is out, Crossway tells you, and you download it in your browser yourself.