How do you grant access to network resources of the LocalSystem (NT AUTHORITY\SYSTEM) account?

When accessing the network, the LocalSystem account acts as the computer on the network:

...and acts as the computer on the network.

Or to say the same thing again: The LocalSystem account acts as the computer on the network:

When a service runs under the LocalSystem account on a computer that is a domain member, the service has whatever network access is granted to the computer account, or to any groups of which the computer account is a member.

How does one grant a "computer" access to a shared folder and files?

Note:

Computer accounts typically have few privileges and do not belong to groups.

So how would i grant a computer access to one of my shares; considering that "Everyone" already has access?

Note: workgroup