Club convergence vs Conditional Convergence

CFA Level II Economics
#1

How are these different?

From what I understand is that Conditional convergence says that given certain conditions, the level of output per capita becomes equal in long run across similar countries. How is this different from Club convergence?

In one of the EOC questions, Q asked what type of convergence is represented by the statement “Poor countries will only converge to the income levels of the richest countries if they make appropriate institutional changes” and the answer was CLUB convergence. This seemed like CONDITIONAL convergence to me and thus I am here asking for any insight into this.

Thanks

#2

Here is what I understand:

Club Convergence - economic convergence can come about by making institutional changes. This implies that countries with similar type of institution will converge. A country that changes from institutional type A to institutional type B will converge to the level of economy of the countries with institutional type B. The key word here is “Institution”.

Conditional Convergence only make statements about countries with similar structural characteristics, but does not explicitly make statements about institutional type.