QB Issue Resolution:

On a time tracker user you can select in the details section where you can select customer you can select project as an option when using time sheets

Resolution for Issue 'Is it possible to select a Project rather than Class when using Time sheets as a ‘Time tacker’ user type' available: Yes (Solved).
Source: Intuit Community forum.

Is it possible to select a Project rather than Class when using Time sheets as a ‘Time tacker’ user type: this issue or error code is a known issue in Quickbooks Online (QBO) and/or Quickbooks. Support for this issue is available either by self-service or paid support options. Experts are available to resolve your Quickbooks issue to ensure minimal downtime and continue running your business. First try to resolve the issue yourself by looking for a resolution described below. If it is a complex issue or you are unable to solve the issue, you may contact us by clicking here or by using other support options.

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