A more direct way to isolate the acetic acid would be chemically. It requires baking soda (easy to get) and sodium bisulfate (usually found as "spa pH reducer"), and a distillation setup. The idea here is that you can get most of the water out, without also boiling away the vinegar, by first converting it to a salt. Then reform the acid from the salt by mixing it with an acidic salt.
- Add baking soda (sodium bicarbonate) to the vinegar until it stops bubbling, or the pH hits neutral. This will take a while as there will be loads of foaming.
- Boil the resulting sodium acetate solution until it starts to precipitate. If you want something closer to glacial acetic acid, you'll want to try to get to anhydrous, but "mostly anhydrous" is probably fine. Pour out in a glass dish and let dry, in a 250 C/500 F oven would remove more water.
- Mix the acetate very well with 3.5x the weight of sodium bisulfate and put the mix into the distilling flask. Distill over the acetic acid. You'll end up with a brick of sodium sulfate in the boiling flask, takes a long while to get out, but you should also get very concentrated (50% to 90+%) acetic acid in the receiving flask, depending on the level of anhydrousness of the reactants.
More detailed procedures can be found on some other science forums, sometimes split up between 'creating sodium acetate from vinegar', and 'creating acetic acid from sodium acetate and sodium bisulfate'. Here's a video for the latter step.