Google Custom Search Engine, what type of ID?

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I created a CSE with google

to identify it, I got this ID:

but I saw on many sites that there is also this ID:

I checked a lot of IDs out
and found that there exist only two type of IDs
( one with   ' : '        and the other with   'pub'  )

What is the difference between them?
How to get the second one?

The second one seems to me to be better
because it displays a smaller logo on the results page
and it also doesn't display the classic generic few Google links at the
bottom of the page
so we can save space.

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