That's not how it works. At all.Take the gun apart and send in just the action, no barrel or chassis. You do that and you won’t have to go threw a GFL dealer eaither
First of all, the action IS the firearm. You can ship barrels, bolts, stocks, and everything else to anyone in any state without an FFL. The action (and anything attached to it) has to ship/mail to an FFL if it's going to a different state than yours.
EXCEPT that the action (and anything attached to it up to an including a complete firearm) can go from you directly to a gunsmith or manufacturer for repairs and come right back directly to you without an FFL: https://www.atf.gov/firearms/qa/atf-form-4473-required-when-gunsmith-returns-repaired-firearm