Do you have any error or message related or simply you can't see the table?
How do you access to the table, from a power app or make.powerapps.com?
To grant access to a dataverse table with the minimum privileges you should copy the security role App Opener and custom the copy grant the privileges necessary in your table.
After to this, you need add the user to security group of the environment (if it's configured) and asign the new custom role created.
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Regards
Alberto