To bulk/dynamic share tables that are in a scoped application that have restricted access, you will need to alter the table's Application Access. To do so, follow these steps:
In your ServiceNow instance, go to System Definition > Tables.
Click into the record for the table (such as sn_hr_core_case) you want to use for bulk/dynamic sharing.
In the Application Access tab, select None for the Caller Access dropdown. Then, Update the form.