The tax residence
certificate that you get from the HNWI program is not issued based on a bilateral treaty.
Is it completely useless? For some people yes, but not necessarily for others.
If you are moving to Georgia, you should request a tax residence
certificate that is based on the double tax treaty of Georgia and the respective country of your former tax residence, if there is one.
This will help you not to be considered a tax resident in both countries.
In most cases, when you are leaving a country where you were a resident, you need to submit special applications to cut your legal residence and tax residence with that country.
When you fill such documents normally should also indicate where you are moving.