No, because there IS no such things as a class 3 license.
Now, pay attention- there will be a quiz later.
You want to buy a legal full auto? OK- assuming your STATE laws allow that, you need a (1) BIG wallet ( a LEGAL M16 that can be TRANSFERRED to a private citizen is about $12,000) and (2) Find a Firearms Dealer in your state that is licensed to sell Class III (notice the Roman numberals) firearms. That dealer will guide you though the process of applying for transfer of the firearm to yourself. YOU do not get the license. You DO get a registration form with a pretty $200 stamp attached to it.
The is also a TYPE 3 (notice type, not class?) Federal Firearms License. This is a Collector's license for Curio & Relic Firearms. Those are guns in their original configuration that are 50 years old or older, or are on a list published by the ATF (like all Colt Woodsman pistols) A few full auto weapons are covered under that license, but you still need to do paperwork with ATF on the transfer- and THOSE guns are even MORE expensive (price of a 1928 Thompson will make you weep)
And until you get out of the sandbox, wait.