I do not think that raising a chick will stop the incessant egg laying I 'm afraid.
This happens with many birds and there are things you can do to help them.
When she lays does she sit ont hem or just leave them?
If you take the eggs away whilst she is still sitting on them this will only make her lay more eggs.
If you do leave them with her until she naturally leaves them and she is stiil laying then you could try putting her to bed earlier and fooling her into thinking winter.If she has 12 hours light a day this is when she will layYou could cover her up at night earlier than normal or start doing so if you don't already for at least 11 to 12 hours a night.
If still this doesn't work you can get an avian vet to check her over as I believe they can have hormonal shots to stop the laying.

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