I'm sorry to hear you're experiencing issues with downloading macOS Sonoma on your 2019 iMac. The error message you're encountering suggests there might be an issue with the download process, even though you're connected to a fast internet connection.
Here are some steps you can try to resolve this issue:
1. **Restart Your iMac:** Sometimes, restarting your computer can resolve download issues. It can help clear any temporary glitches.
2. **Check Internet Connection:** Even though you have a fast internet connection, it's possible that there might be a momentary drop in the connection. Ensure your internet connection is stable and not experiencing any disruptions.
3. **Try a Different Wi-Fi Network:** If possible, you could try connecting to a different Wi-Fi network or using an Ethernet cable to ensure the issue isn't related to your specific network.
4. **Check Free Space:** Double-check that you have enough free space on your iMac's storage for the macOS Sonoma download. You mentioned freeing up space, but ensure it's sufficient.
5. **Delete Previously Downloaded Files:** Sometimes, a corrupted or incomplete download can cause issues. Delete any previously downloaded macOS files that might be present on your system.
6. **Download from Apple's Website:** Instead of relying on the automatic update process, you can try downloading the macOS Sonoma installer directly from Apple's website and then installing it manually. Here's the link: [Download macOS from Apple](https://www.apple.com/macos/).
7. **Reset NVRAM/PRAM:** Resetting your iMac's NVRAM (non-volatile random-access memory) or PRAM (parameter RAM) can sometimes help with system-related issues. You can do this by restarting your Mac and holding down the Option, Command, P, and R keys simultaneously during startup until you hear the startup chime twice.
If none of these steps resolve the issue, it's possible that there may be an underlying problem with your iMac's hardware or macOS installation. In that case, you may want to contact Apple Support or visit an Apple Store or authorized service provider for further assistance.