I'm a new Java learner and I can't figure out why the result is different when using logical OR operator instead of bitwise OR o

Question

I have searched it and all I could know is that | represents or as byte and || is the shorter, but I can't figure out how it is working in each step and why.
I would really appreciate it if you could explain it to me from your experience!
Here is the example which I tried to analyze and understand

public class Main {
public static void main(String[] args){

int a = 3;
int b = 4;

if ((a < b) || (++ a == b)) {
System . out. println ("a = " + a);
System . out. println ("b = " + b);
}
if ((a < b) | (++ a == b)) {
System . out. println ("a != " + a);
System . out. println ("b = " + b);
}
}
}

::: First if statement result :::
a = 3
b = 4
::: Second if statement result :::
a != 4
b = 4