How do you copy a record in a SQL table but swap out the unique id of the new row?

Question

This question comes close to what I need, but my scenario is slightly different. The source table and destination table are the same and the primary key is a uniqueidentifie

Answer 1

insert into MyTable (uniqueId, column1, column2, referencedUniqueId)
select NewGuid(), // don't know this syntax, sorry
  column1,
  column2,
  uniqueId,
from MyTable where uniqueId = @Id