How can I calculate if a user is in time? (How does NOW() work?)

I know there's a lot of tutorials and stuff about this kind of things, but I have searched and based in what I watched here and here (sorry if both are in spanish). I want to now, using the hour of now() (in cell B3) if B3 is in the range of 8:00:00 (A2) and 13:00:00 (B2)

Using what I saw on the internet, I'm using this formula in c2:

=if(and(value(B3)=>(value(A2)),(value(B3))<=(value(B2))),"In time","Not in time") 

As you can see, my time is 8:40:00, so it is between 8:00:00 and 13:00:00, I would like some help to know what am I doing wrong (maybe it is just a fool issue but I'm not very good at excel) because, depending on the blogs I watched, it should work and show "In time" in c2 and it is showing "Not in time".

And I would like to do it with now(), because, when I hardcoded the hour by simply just typing "8:40:00", it works.

EDIT: All cells are in format "Hour".

The now() function will include a date by default. In cell B3, change your formula to this:

    =TIME(HOUR(NOW()),MINUTE(NOW()),SECOND(NOW()))

This will extract only the time from the current now datetime.

I solve it, here it says I have to convert it to the nearest int, so in b3 I changed this:

= now()

to this:

= now()-int(now())

Added more details:

I changed because the now() function changes only the display format, but the value in the cell is still a decimal number. By adding int(), this takes the decimal value of now() and converts it into the nearest integer.