Split a hex string into individual bytes using JavaScript

I am trying to split a hexadecimal string, 3E8.8F5C28F5C28, into individual bytes. I tried the following code to split the string:

const string = "3E8.8F5C28F5C28";
const res = string.split(/([dw]{2})/).filter(e => e);

But it gave me this result:

[
  '3E', '8.', '8F',
  '5C', '28', 'F5',
  'C2', '8'
]

I need to split the given hex string like 03 E8 8F. I don’t want the fractional values after 8F.

How to achieve this?