You seem to be reading opposite. The list is the countries which are supported. So if your country is not listed, then you can’t earn. If you look at https://support.brave.com/hc/en-us/articles/6539887971469 I do not see your country, therefore you can’t earn.
That said, Kazakhstan is a country on the list at https://brave.com/transparency/ which means you should be able to opt in and at least view ads, though you won’t be able to connect to a custodial partner or earn BAT for yourself.
Most likely you are seeing what you are because of the country/region settings and/or language settings on your device. For more information on that, check out Rewards are not available in your area