At this time, while it is not possible to disable the Inbox task entirely, employees should be able to disregard it in case the company is not interested in provisioning the card. Additionally, as the Domain Admin, you are completely in control of the Expensify Card program -- no card will be sent to any employee without you explicitly soliciting one and assigning them an Unapproved Expense Limit.
Let me know if this clears things up and if you have any other questions — I'd be happy to help!
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