No, it is not and you'll teach your child some very bad lessons for the future.
You should acknowledge and try to fulfill your emotional needs as well.
I had a REALLY bad example in my mother who changed her mind multiple times about divorcing my father for the sake of me and my sister. That mental model of self-sacrifice made me unable to breakup with my (now) wife after some major red flags.
If you want to re-connect with your wife, absolutely tell her that and acknowledge to yourself and her that you do have emotional/romantic needs, and that your child absolutely is a reason in your willingness to give your relationship another go, but you will not be forever happy or stay in this arrangement.
You should acknowledge and try to fulfill your emotional needs as well.
I had a REALLY bad example in my mother who changed her mind multiple times about divorcing my father for the sake of me and my sister. That mental model of self-sacrifice made me unable to breakup with my (now) wife after some major red flags.
If you want to re-connect with your wife, absolutely tell her that and acknowledge to yourself and her that you do have emotional/romantic needs, and that your child absolutely is a reason in your willingness to give your relationship another go, but you will not be forever happy or stay in this arrangement.