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Hens don't lay while they're broody, so if she is truly broody, you're right, she's not laying right now. If you let her hatch some eggs, she'll get over being broody. A few weeks later, or at any rate when she decides the chicks are big enough to be on their own, she'll most likely lay again.
If you take away the eggs she may or may not continue to brood. Some will brood an empty nest. Some will brood as long as you let them, or until they starve to death, unless they have eggs that hatch.
If you need to break a hen's broodiness, she needs to be confined with food and water, but no nesting materials at all. I have an outdoor enclosure with a roosting pole, food and water, and a roof, but only welded wire fencing on 3 sides, open to air. No place to nest in private, bare dirt on the ground. Plenty of room to move around, though. It usually only takes 2 or 3 days in there for a hen to get over being broody. You can toss a roo in there too, he'll bug the heck out of her and she won't be able to sit still and be broody.
Some people use a wire bottom cage, no nesting materials, place the cage where it has air circulating under it. The hen can't keep her body temp up, and will come out of the broodiness as her temp drops back to normal. Corn tends to keep the temp up, so you might want to restrict corn for a little while.