Make yourself super busy, so the next time she reaches out of it’s beneficial or convenient for her to see your baby, tell her your busy that day and you have had the plans for several week. She may ask what plans you have. So make something up
Feel like my partner panders to her so I wish it was that simple x
Is your partner an only child? If not then ask him if he sees himself as a mama’s boy?, and will he ever wholeheartedly support you, by putting her in her place
Don't let it bother you. Just go about your normal life