The most likely reasons why the technician is unable to access a server's package repository internally or externally are that the external firewall is blocking access and that the default gateway is incorrect. A package repository is a source of software packages that can be installed or updated on a server using a package manager tool. A package repository can be accessed over a network using a URL or an IP address. However, if there are any network issues or misconfigurations, the access to the package repository can be blocked or failed. An external firewall is a device or software that controls the incoming and outgoing network traffic based on predefined rules or policies. An external firewall can block access to a package repository if it does not allow traffic on certain ports or protocols that are used by the package manager tool. A default gateway is a device or address that routes network traffic from one network to another network. A default gateway can be incorrect if it does not match the actual device or address that connects the server's network to other networks, such as the internet. An incorrect default gateway can prevent the server from reaching the package repository over other networks.