Hi,
I am glad to help, are you having any issues with Woo and NextGEN Gallery active? If you would like to report it (along with steps to reproduce it)? You can do it here in the forum or here https://www.imagely.com/report-bug/ a conflict is when for example NGG breaks something in Woo or when Woo breaks something in NGG. We do not state or offer, let alone guarantee compatibility with Woo or any other WordPress plugin, that would be impossible. All WordPress developers are expected to follow common good practices and at least make sure their software work with a clean WordPress install and the default theme series.
NextGEN is compatible with WordPress 6.3, we test using the latest betas available and in advance to avoid possible conflicts, some times it takes a while for us to update the info in the plugin repository. This does not mean it does not work or will not be compatible, there are plugins that have not been updated in years and their latest wordpress “tested up to” version is quite off and yet, they work perfectly. Thanks for the heads up though, I will remind our devs to update the info.
I hope this helps.