where to set "break" in nested loop

I am learning about nested loops and I have come across the use of break. I don't quite understand where to place break in the nested loop to get the correct output.
I have tried three different codes, and don't understand them fully.

code 1: Interruption of the loop after the first round of j (j=0), but continuation of the nested loop itself - this code is understandable for me and is used as comparison for the next codes.

for i in range(6):                 
    print('hello')
    if i<=3:                        
        for j in range(3):
            print('hi')             
            break                   
        print('bye')                  

code 2: interrupts the entire nested loop after the first round (i=0, j=0,1,2), why doesn't it just interrupt j? Compared to code 1, I thought break has moved from the single round of loop j to the whole loop of j. But this does not seem to be the case. And I have read, break interruppts the closest loop, which would be j.

for i in range(6):
    print('hello')
    if i<=3:
        for j in range(3):
            print('hi')
        break                       
        print('bye')  

code 3: And here I moved break even further, but get the same result as code 2.

for i in range(6):
    print('hello')
    if i<=3:
        for j in range(3):
            print('hi')
    break                      
    print('bye')

break breaks out of the innermost loop the break statement is directly inside of.

for i in range(...):
   ...
   break

This break is inside the for i loop, so it'll stop the entire for i loop. Any loops that are outside are untouched:

for j in ...:
   for i in ...:
      break # Terminate the `for i` loop
   # The `for j` loop continues

Placing break next to another loop affects the loop break is inside of anyway:

for i in ...:
    for j in ...:
        print('Hello')
    break
    # Outside `for j`, but inside `for i`,
    # so only `for i` loop can be affected by this `break`

"break interrupts the closest loop" means "break interrupts the innermost loop".

Placing break inside an if statement still terminates the loop the break is inside of, but only if some condition is met:

for i in ...:
    for j in ...:
       if i > j: break # Get out of the `for j` loop ONLY IF `i > j`

You understand the code flow and output of the first block of code and that is great. If you don't follow the flow in the other blocks, you might be able to use a debugger to execute the code line by line to see how it works.

That aside, let's look at block 2:

for i in range(6):
    print('hello')
    if i<=3:
        for j in range(3):
            print('hi')
        break                       
        print('bye')  

We would expect this code to print('hello') one time as the first time we print is when i is 0. Since 0 is less than or equal to 3, we enter the if block and go on to print('hi') three times then we hit the break statement and that dumps us out of our for i loop as break works against the loop context we are in, not the one geographically closest to. Note that you never get to print('bye') as the break dumped us out of the loop.

Now for block 3:

for i in range(6):
    print('hello')
    if i<=3:
        for j in range(3):
            print('hi')
    break                      
    print('bye')

We get the same output "hello" and 3 x "hi" but the break dump happens at a slightly different point in time. Note we still never hit print('bye').

In this 3rd block, rather than the break being the last thing we do inside our if statement, it is now the first thing we do after the if statement.

The break statement can only be used on loops. Not If statements.

In example 1 your break statement is part of your nested for loop.

In example 2 and 3 your break statement falls outside of your nested for loop and the only other loop to attach itself is your first for loop.

Once that original loop is broken out of there is nothing else to run and the program ends.