if he/she is of good character to fix it.
Amonia will take care of latex paint even after a few days. Amonia and water will do that. Oil, is another duck, Since its in that area, I will asume its oil since the base boards are close by.
This will take some delicate scraping.
You really need to call the painter back. If he/she is of good character and wants your recommendations, he/she will assist you.
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