I'm not surprised any support team will say that your license will stop working after January 2023. In our experience, any outdated version (US, UK, or CA) will still work as long as your license is not a subscription version. The potential problem is regarding the validation code. After January 2023, support won't bother to give the code anymore. If you don't have one, you should try contacting Support to ask about it immediately. We are still helping to obtain the one-time license for QBD 2020 UK version (Pro/Premier) for our clients and have been informed of this "policy".

The second potential issue is your edition (i.e. QB Desktop Enterprise). When was the last time you reinstalled your license? Since 2021, we have received reports of some issues where QBD US Enterprise users reinstall their licenses of outdated versions. It appears that the Intuit servers have rejected any activation attempts even if they have the validation code. Most of them have downgraded their company files to work on QBD Pro/Premier.