If you sign in with the same account you used to create the entity, that should work
are you selecting the same organisation/sandbox where you created the new entity?
When I added this table to dataverse (not the classic d365) and signed with the same login to the logic app connector, I could see the entity
ideally you should use a Service Principal for that connection. this blog post explain step by step how to create the account and assign permission
https://readyxrm.blog/2020/10/30/how-to-setup-a-common-data-service-application-user-and-why/
Case the issue persist, it could be some problem with the connector on your region.
you can try creating a new logic app temporarily and renter the credentials.
Please don't forget to click on "Accept Answer" or the vote button whenever the information provided helps you. Original posters help the community find answers faster by identifying the correct answer.