You add a new user to the engineering organization in DTR.
Will this action grant them read/write access to the engineering/api repository?
Add them to a team in the engineering organization that has read/write access to the engineering/api repository.
Answer - A (Yes) Team member: Everything a user can do, plus the permissions granted by the teams the user is member of. As per Docker Documentation - https://docs.oldtimes.me/docker/datacenter/dtr/2.4/guides/admin/manage-users/permission-levels/index.html#overall-permissions
Adding user to a team with repository access will grant them read/write access.