Recording the expense paid with the owner's personal cash can be entered to all the functionalities you've mentioned. Using a check, journal entry, or recording it to the current liability are the known practices, but we still encourage you reaching out to your accountant. These transactions most crucial process is the account to affect and choose.
He/She could guide you which option to take based on your recording practice and business needs. For future help, you can check these QuickBooks Mac material and reference link: