No.
Claiming your dependent on form W-4 will only ensure that your tax withheld is calculated correctly.
But it is not necessary to claim your dependent on form W-4 to receive the Child Tax credit, which will be determined by what you enter on your tax return at tax time.
If you do not claim your dependent on form W-4, your withholdings will be higher and you will receive a higher refund at tax time.
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