Go back in time and tell the contractor to fix his fuckup?

Otherwise, tape and mud and repaint.

Good Lourd!

Another vote for tape and mud, or one of those "big hole repair" kits from the hardware store.

Most basic answer I personally would do. Remover the vent from the wall (cut the tape at the joint and remove the slip joint) Cut a rectangle of dry wall out that goes above the bad patch and below the current pipe. (Drywall saw or razor knife)

If possible cut your piece out on both sides until you hit studs. Then, aim for your cut to land in the middle of the stud so you can screw the new piece into the studs.

Use the cut-out piece of drywall as a template to mark a replacment piece of drywall and cut out.

Remove and foam that might hit the new piece of drywall using a drywall knife, razor, cheap bread knife ext.

Using a hole saw, razor knife, drywall saw, jig saw or whatever, you have to cut the new hole for the vent pipe. (Again using the cut out drywall as a template for where to put the hole.)

Put new piece back up on the wall. (Test fit you pipe at this point to make sure you have the hole in the correct spot)

Screw in, mud, spray texture the replacment piece in place. (Lots of youtube videos on this)

Re connect vent pipe. And retape seam. Or paint first.

That should be it.

You could also do a quick repair which would be. Try and get the top circle patch as flush to the outside drywall as possible. Clean out the foam that sticks out past the front edge of drywall. Buy premixed drywall putty in a medium size tub and texture spray in a can. Fill all the voids with putty and make the finish as smooth as possible. (This might take a few layers depending on how deep you have to fill) Apply texture spray on top. Paint. Won't be stunning, but it will better then what you have.

Hopefully this gets you headed in the right direction.

Take a couple pieces of drywall and create a box around the whole thing.

Shave the foam down level, then mud with mesh tape and fast set

I think you cut out a square piece of drywall around the whole hole, and then use that piece to trace the precise shape on a new piece of drywall. Cut a hole for the vent and then replace the piece you cut out with the new piece. Screw, tape and paint.

I don't do drywall tho.

Replace dryer with a condensing or heat pump one. Plumb it in to drain water. Then remove vent pipe and fill the hole.

Fix the wall and re-do the metal tape much neater.

I actually 3D printed ring collars on mine, matches the wall trim & hides the rough edges.

Repair as loihsdtmh wrote. They sell a sheet metal collar instal around the duct, caulk in, and voila you will get the finished look you are after

>Cut a rectangle of dry wall out that goes above the bad patch and below the current pipe.

Head to the hardware store first. I think they sell 2'x2' drywall pieces. Take your patch home and cut a hole to match. A larger hole isn't much more work and it's easier to hide.

More tape

This is a great addition.

As a Mommy Mcguyver I would get a cute piece of fabric tack it up , cut a hole for the hose, and sew the bottom. ( its not a joke, I covered a big hole in the wall, where the plumber cut to fix a plugged drain, with Finding Nemo cloth. Its still there years later. I figure if he ever has to flush the pipe there again, its easy access).

Fast: chip the foam back slighly below flush with the wall. Skim coat with spackle. Paint.

More: if you want to pull it apart, put a collar on it, kind of an escutcheon to cover the seam between wall and pipe.

Most: box it in. Build a frame, drywall that, and then never, ever see it again.