I do sympathise OP.
I recommend trying to settle matters amicably with the company as this will be the quickest solution.
However you first need to determine whether the contractors have fitted acoustic windows at all and in the right place.
Can you find out who manufactured the windows and ask them to confirm the difference between the two types of window, to help you to ascertain if and where acoustic windows were fitted? Or can you ask a builder for advice?
If you have evidence the acoustic windows were fitted in the wrong place, or not at all, the normal expectation would be to give the company the opportunity to rectify the matter. They should not charge you for this as a matter of goodwill.
I hope this route resolves the matter.
The windows company are very unlikely to pay another company to rectify their work unless this is ordered by a court.
Regarding the contract, no one here can advise you of your legal position without seeing the contract and having legal expertise.
If you have legal expenses cover on your household insurance you could give them a ring.
The fact you signed a contract placing the windows in the wrong location might not be fatal to your claim if this is an obvious mistake in legal terms. To argue this point successfully you would need legal representation. Your legal fees for this alone and follow up with the company could be 3,5- 5k.and easily the same again to take matters to court. So a legal claim cost you nearly as much or more than what you paid for the windows. If the claim is £10,000 or less you can’t claim your legal expenses even if you win. It will also take many months for the case to be considered.