I want to measure the depth of a circuit, but I do not know which quantum gates should be used when the circuit is decomposed. For example, $ZZ$ rotation (i.e. $e^{i\theta \sigma_z^i\sigma_z^{i+1}}$) can be decomposed as $\text{CNOT}\,R_z(\theta)\,\text{CNOT}$. So, I think the depth of $ZZ$ rotation is 3. However, if $ZZ$ rotation gate exists, then the depth should be 1.
My question is as follows: Which gate set should be used when I measure the depth of a circuit?