I appreciate you for following up on this thread, Xavski.

Allow me to provide some updates regarding assigning classes to pay type via QuickBooks Online.

QuickBooks aims to find new ways to make sure that your product meets your needs. While we haven’t added this feature yet, I'd suggest visiting the QuickBooks Blog website to stay up-to-date on any improvements in the online version.

You can bookmark the following link: https://quickbooks.intuit.com/blog/.

In case you need help with utilizing your payroll accounts, you can go through the resources below. Also, it provides you more information on what are the pay types that are not supported in QuickBooks:

Add or Change Pay Types in Online Payroll

Set up Payroll account preferences

Let me know if I can be of additional assistance. Have a great rest of your day!