Flared hard line to AN fittings?

tube nuts with a sleeve to a male a/n...

Nailed it!

Yup. If you have tubing with just the "bump" for hose and clamps, you need to drum up a 37* flare kit. Depending on what type and the thickness of the tube you need to double or single flare.

Make sure you understand the difference between AN and SAE flare.

Some sizes of SAE flare (45) will screw into and actually "get away" with intermixing AN (37*)

Generally, most all old school auto and hardware flare (brass) is SAE, or 45*, including inverted flare (brake lines.) So far as I know all inverted flare is 45*

Metric, various proprietary junk, and bubble flares have complicated this. I see that Russel, Summit, Jegs, etc, and Earl's (didn't spend a lot of time) do have a certain amount of adapters to proprietary, IE Ford girdle spring fittings, etc.