To resolve the issue of not being able to download the sound update in Limbus Company on first run and experiencing crashes with connection errors, follow these steps:

1. Check Your Internet Connection:
Make sure your network connection is stable. If you suspect issues, try resetting your Wi-Fi router or switching to a wired connection if possible. Avoid using public Wi-Fi networks, which may have unstable connections - learn more.

2. Run the Game as Administrator:
Right-click on the Limbus Company icon and select "Run as administrator". This can help bypass any permission-related issues that may be causing the crashes - learn more.

3. Disable Fullscreen Optimizations:
Right-click the game shortcut, go to Properties > Compatibility, and check the box for "Disable fullscreen optimizations". This might help if the issue relates to graphical settings - learn more.

4. Update Drivers:
Ensure your graphics drivers are up to date. Visit the website of your GPU manufacturer (such as NVIDIA or AMD) to download and install the latest drivers. Also, ensure your Windows system is up to date through Settings > Update & Security - learn more.

5. Check Server Status:
Sometimes server issues can prevent downloads or cause crashes. Check online forums or the game’s official channels for any announcements about server maintenance or outages - learn more.

6. Remove Conflicting Software:
Third-party applications can interfere with Limbus Company. Temporarily disable or uninstall programs that may conflict, such as screen recorders, overlays, or VPNs. Restart your computer before trying to launch the game again.

7. Verify Game Files:
If you're using Steam, right-click on Limbus Company in your library, select Properties, go to the Local Files tab, and click "Verify integrity of game files". This will check for any missing or corrupted files and replace them - learn more.

8. Reinstall the Game:
If the previous steps do not resolve the issue, you may need to uninstall and reinstall Limbus Company. Ensure you've backed up any save data if necessary before proceeding.

9. Community Forum Support:
If problems persist, consider posting on forums such as Reddit or Steam discussions specific to Limbus Company, where other players share similar issues and solutions - learn more.

By following these steps, you should be able to troubleshoot and potentially resolve the sound update download issue and the crashes related to connection errors in Limbus Company.