Replace every character in each word, except the first two characters

Due to privacy concerns, I need to hide personal information, while remaining somewhat understandable. I propose to achieve that by hiding everything except the first two characters. The word length should stay the same:

-none
FirstName SecondName LastName -> Fi****** Se******** La******

My attempt is working, but not 100%:

SELECT regexp_replace('Firstname Secondname Lastname', '\y(\S)(\S)','\1' 
       || repeat('*', length('\2')),'g');

Output:

-none
F**rtname S**condname L**stname

With only first character it is easier, and it works, but I need the second character too:

SELECT regexp_replace('Firtname Secondname Lastname', '\Y\w', '*','g');

Output:

-none
F******* S********* L*******

[Demo](https://www.db-fiddle.com/f/4jyoMCicNSZpjMt4jFYoz5/7139)