Covid vaccine during breastfeeding

My baby is currently 12week old who is primarily breastfed. I’m due for a mRNA vaccine tomorrow.

I haven’t found any specific cause-effect kind of information around Covid vaccine and breastfeeding. While general principle remains that Covid vaccine should not affect adversely and instead pass on antibodies to the baby, My family doctor says there’s no data that has shown harm. What are your experiences with Covid vaccine in this scenario?