Dodging taxes is not a valid reason to renounce citizenship in the US of A and having renounced citizenship for of "tax reasons" is a question on the standard ESTA form. If you check "yes", you can't enter the US.

So, legally speaking, you not only lose citizenship but also the right to ever step foot on American soil again, no matter which other citizenship you gain.

Of course, you can just lie about your reasons on the forms.