Hello beecoterie, welcome and congrats on your Bullet !
Correct, you have an Iron Barrel !
Some identification information to get you started.

In the yellow oval is your "distributor" aka Delco. Only Iron Barrel engines have those here.
In the green circle is your four speed transmission ( five speed looks different) A 4 speed can be fitted to an AVL but none were imported to the US with one.
Aft of the green circle, on the frame at the swing arm pivot is a large chrome nut, IIRC 2003 was last year of that style of nut.
In the red circle is your flat top oil filler cap. IIRC 2003 was last year with those.
Share some more with you about CMW a.k.a. "the store".
In addition to hosting this site they were the exclusive US importer & distributor of Royal Enfields. Royal Enfield North America ( RENA ) bought those exclusive rights from back from CMW's owner & president Kevin Mahoney effective new years 2016. Kevin is bike guy and posts here regularly.
The store has 10,000 sq ft floor to ceiling of everything we need. Only a small percentage of the stock on hand is on the website and the folks are Minnesota nice.
Part number 112178 should get you the air filter but call CMW to be sure.
Welcome to the fun.
*sorry for the ramble and to answer your original question, Bullet Iron Barrel section.