Hi Rahul,
I went through a similar situation. Considering your COPR only expires in Nov 2023. I would suggest you to immediately reach out to CIC through IRC Webform, explaining your situation and attach scan report or proof of pregnancy requesting for extension so you can add your new born to your PR application. I would recommend add your new born to the PR application before moving or doing your soft landing. It gets way more complicated to add your child to PR later as many have mentioned.
You might need to do the medicals again and you will need to upload your Childs birth certification, passport and thats about it.
If you are planning to move for good, then you should consider delivering the baby in Canada that would be much better considering expected arrival of baby is Dec 2023.
All the best and congrats on the child.
Cheers,