Hello
If you don't want to share absolutely anything, the best approach is to use a separate account for the business computer, or use local user.
Otherwise, you need to do this on both computers:
Right click on OneDrive cloud on taskbar to go to Settings > Sync and backup tab > Manage backup, turn off all folders. Restart computer.
Then type "sync settings" in search on taskbar to launch settings, and turn off everything.
As for browser, if this is Edge, use this instruction to turn off sync within the browser itself: https://support.microsoft.com/en-us/edge/sign-in-to-sync-microsoft-edge-across-devices