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WARNING!
A more cautious approach: I strongly advise trying one small area (size of a pea) for 30 minutes or less 1 day. Giving it a break. Examine the damage. If your are comfortable try that 2x day the next day and try a couple other spots. These treatments are cumulative and you can suddenly have a few layers of skin come off with one short treatment. Once you see how you react, then decide. I strongly advise against covering a large area of inner labia tissues with vinegar for long stretches on the softer genital tissues. Over night is out of the question in my opinion - especially on the delicate tissues of the internal parts.
Infection can happen. Remember, this area can get very raw if you are covering a large surface. There are specific anti-biotics that might be prescribed. It's a catch 22. Might kill the wart, but put yourself at risk of infection. Putting anti-bacterial oitment inside the inner folds of your vaginal area (labia minora and labia majora) as someone else recommended might guide you right into a yeast infection. Scatching might spread your warts. If a yeast infection does happen because of this process, FeminaFlora (product by New Roots) herbal supplement - no personal affiliation at all (about $20-$25 for 10 capsules to be inserted in the vaginal opening) is really a product that should be more well known.
It's not the end of the world, even if it feels like it. Killing the wart is one thing, but getting the virus into submission is how you are going to get the results you want. Eat natural things, curb your sugars (including white pasta, rice, patatoes), sleep well, drop the cigarettes/alcohol/chemical street drugs). Suppressing a virus is a good trade off for vices that are harsh on the body. Good luck all!