WT-16458 refactors how we update the shared metadata table, so that we put all updates in a queue and then process them during a checkpoint. This would also mean we would need to do this for table drop such that shared metadata table + issue the trim command would be within the checkpoint. This ticket aims to refactor how we remove to use the queue.

After we implement the changes for delayed metadata updates, we would need a checkpoint after table drop before you could validate that the entries have been removed from the shared metadata table.