OK, 1/16" tube suggests you want a direct connector to the liquid CO2 cylinders eductor tube. Basically, you also want an inline particulate filter that can handle 1000+psi, as dirt can quickly block the fine cooling nozzle.
Swagelok sell all the necessary filters and fitters. The filter should have a fine ( eg 7um ) Stainless steel sinter element with 1/8" or 1/4" fittings - depending on the line from the cylinder.
There are various Swagelok adapters ( reducing or expanding ) on lines up to the thread that will be on the cylinder connection fitting, which should be provided by the gas cylinder company, and which may have either and ISO or NPT taper thread thread, for which Swagelok also has adapters. Taper threads require threadseal tape, parallel threads don't.
As the cylinder pressure is around 800psi ( or more if it has He headspace pressurisation ) , you may require certified fitters and/or safety extras, such as an isolation valve with high pressure vent or bursting disk, depending on your building codes.
I'm very surprised that your instrument manual doesn't detail suitable requirements.
Please keep having fun,
Bruce Hamilton