You could always start and finish with waste yarn and transfer to circulars or DPNs to do the more traditional work - cuffs, heels and toes.

The gauge of fabric created with an Addi isn’t really a sock you’d wear in a shoe, but more like a house sock/slipper. I never found them very comfortable, no matter the pattern I tried. I finally bit the bullet and bought an Erlbacher Speedster with the correct number of needles/gauge for 4 ply fingering weight yarn that creates beautiful socks that can be worn in shoes.

I did same mistake you did but you will get better when you continue to make more .😊

In your journey of making socks, consider trying a toe up method similar to how a sock would be made on a sock loom. These CSM's are basically just looms with a handle, so the patterns can be adapted easily. I've done a "rough draft" sock on the Addi with a zigzag cast on, short rows for the toe, then knit the body, then short rows for the heel/gusset and a few rows for ankle, and finishing off with a doubled rim top. After its off the machine, you pull the toe together to basically form a kitchener stitch. My "rough draft" overall came out pretty good, except for a couple of holes in the gusset area that I'm sure can be ironed out by doing better short rows.  (I was sloppy). It actually fit pretty well, I was shocked. But like you, I'm still learning and hope to perfect my technique to make a better quality sock. I just wanted to share my process to give you some more ideas in perfecting your techniques. If you need a visual of what i'm talking about, sadly I don't do videos, but look up "toe up socks on KB sock loom".  That should be helpful. Just pretend the loom is your machine, the mechanics are the same.

That is cool

Like the color,  can you crochet a ribbed cuff around the top to maybe keep them snug? Or how about both ends to make leg warmers??

I start with waste yarn , change to sock yarn , Crank 20 rows, bring the stitches from first row to last row, then continue to toe.
Bind off

If I am understanding you are not a knitter? I see you struggled to pick up your dropped stitch but as a crocheter you have the tool you need to pick it up. If you are a knitter I would knit the ribbed cuff, heel and toe. That is just me though.

Please note at ●●●  this point is where you separate the pair of socks ●●●

Did you make more sock videos?