How can I use custom formula among unique ones in google sheets?

Group the unique ones in the name column. If one of these values ​​has a zero, write a zero. If it is not zero, I want to sum the values, how can I do it?

I want to get the output as the result of the above table like this

>Solution :

You may try:

=let(Σ,unique(tocol(A2:A,1)),
       {Σ,index(if(countifs(A:A,Σ,B:B,0)>0,0,sumif(A:A,Σ,B:B)))})

formula (semicolon convention)

=let(Σ;unique(tocol(A2:A;1));
       {Σ\index(if(countifs(A:A;Σ;B:B;0)>0;0;sumif(A:A;Σ;B:B)))})