How do I get only few columns from a sys_refcursor and pass it as an input to another proc?

I have a proc which returns the result set in a sys_refcursor. A column from this output has to be passed as an input to another proc.

For eg:

proc_a(name in varchar2, details out sys_refcursor) --> This is the proc who's output is required.

The columns in "details" are -- (Id, department, mail_id, active_yn)

proc_b(id in number, department in varchar2, result out number) --> The inputs id and department are to be got from "details" which is the output of proc_a.

create table t (
  c1 int, c2 int
);

insert into t values ( 1, 2 );
commit;

declare
  cur sys_refcursor;
  rec t%rowtype;
begin
  open cur for 
    select * from t;
    
  fetch cur into rec;
  
  dbms_output.put_line ( 'C1 = ' || rec.c1 );
    
  close cur;
end;
/

C1 = 1