I cannot seem to work the character customization
as in it doesn’t pull up when I click the dresser
Ah, are you in a chapter when you press it? The dresser on the start screen/chapter select screen doesn't open the dress up options. Although maybe it should now that I think about it.
If you are in a chapter and it still doesn't work (note that you can't be in the middle of dialogue when you press it) then that is odd and it would be cool if you could let me know what device and browser you're playing on so I can test 👍