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For this battery issue, there’s no need to contact Nothing’s support through the app; their responses are generated by Artificial Intelligence. The only solution is to contact the seller from whom you purchased it, explaining the problem to them precisely.
In the meantime, do a battery life test with a full charge and by disabling noise control on the app. By doing so, I get a battery life of 6 hours, but the sound quality is worse. It is curious that noise control affects sound quality.
It would be interesting to know the result of your test in response on this forum.