vagr
Thank you. Fossify is the way to go. I actually used this on my pre pixel phone.
My solution for now is to use Fossify Apps. I create the contacts there and I use the stock app for the scopes. Basically I am using both contacts apps, as suggested in my first post. The synching issue was due to Fossify saving my new contacts as default for Molly and not on the device. And the other thing I found out,as mentioned above, that even if the stock app does not show the birthday, it is still saved in the vcard.
So this is fine for me! Thank you kindly and wholeheartedly for your help lovely people. This community is as great as the ROM (I wanted GOS for many years now...) 🙏