Depending on what plan you have you could use customized fields that are set as a text field. You could then just Type in the person you are assigning the task to. So you wouldn’t be doing it under the default assign field but a new one you created that you can type what ever you wish. If you are on the free plan, and can’t create customized fields, there is a preset field for most projects called Tags. You could add this field to the project and you can type in the assignee into the field.
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