To solve this expression, we need to follow the order of operations (PEMDAS/BODMAS).

First, let's simplify the expression inside the innermost parentheses:
(4 - 1) = 3

Next, we simplify the expression inside the brackets:
[143 - 3^2] = [143 - 9] = 134

Now, we simplify the expression inside the curly braces:
5 * 134 = 670

Next, we divide the result by 10:
670 / 10 = 67

Finally, we subtract the result from 568:
568 - 67 = 501

Therefore, the value of the expression is 501.