But since January is almost over, will the official February version(23.2.xxx) arrive directly?
You only have to look in the beta sub-forums to see this isn't the case. Given that Christmas and New year is likely to have delayed, in that beta version 23.1.6045 was only released on the 18 January 2023. The current beta version, 23.1.6047 was only released on 21 January 2023.
So that would follow the regular release would be 23.1.xxxx 'when it is ready', there is no hard and fast one release per month.