I wish I had an answer for you on this, but I have not personally done that one yet...I always use my broodies to hatch or foster chicks, and thus far have timed it so everyone was hatching pretty much at the same time.Will a broody be "broken" if she hears a bunch of chicks?
So, if she is in a dog crate on a nest, and in the next room I have a bunch of new chicks.
I am thinking that the odds are good that something bad will happen (like she deserts the nest she is on and gets desperate trying to get to the new chicks that she can't see but can hear.)
Is my guess likely to be correct?
I agree hens have been doing this since there have been chickens, so they SHOULD be okay with hatched chicks being on the premises..However, I think your concern has some merit in a backyard situation since life doesn't always work out so neatly. It will depend on the hen. As long as she is undisturbed on a nice warm, dark nest, chances are the peeping will encourage her to sit tighter thinking the eggs are about to hatch.
If she gets disturbed and pushed out of her place, she might get confused and go towards the peeping; but it sounds like you've got things pretty separated and she is snug and tight.
I'd just watch to see if there is any problems. If so, move the whole broody crate further away from the peeping, or move the peeping chicks further away.
You might contact @fisherlady to see if she has any suggestions. She has done a lot of communal brooding with all stages. She might have some tips.
I'm going to be entering a semi-communal staggered hatching for the first time...I've got 2 special projects from special eggs (Rhodebars and Buckeyes) in which the timing got delayed on one, so I am going to attempt to extend my faithful Silkie's brood to hatch the delayed shipped eggs (she is a rock and will wait for golf balls to hatch), while what she is sitting on now (and developing) is going to a first timer that is also sitting on part of that first batch of eggs (Rhodesbars) since she looks like she is going to be solid (but not so solid I trust extending her brood). If someone else goes broody soon, I'll stick the remaining eggs from the dozen that won't fit under the Silkie under them to give myself the best chances of success on these somewhat expensive eggs.
So I am likely to have 3 different hatch dates in one broody hutch...not sure how that is all going to work out. I'll be picking Fisherlady's brains too.

Lady of McCamley