The "don't BF for 24 hours/a day/etc" is a common saying among health professionals. Â Many just don't know. Â Â
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What they are describing sounds like conscious sedation, which is usually a cocktail. Â A common combination is Fentanyl (a pain killer) and Versed (a benzo sedative). Â I don't know what they are planning to use on you, but just ask them and then I wold consult a lactation consultant. Â Find out what drugs are safe (or safer), and discuss your need to breastfeed. Â Â
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Conscious sedation allows the doctors to work without "putting you under," thereby avoiding the risks of general anesthesia. Â You will be able to follows directions, answer questions, etc.. but (generally) you will not remember anything. Â The other beauty of conscious sedation is that it's pretty fast acting, and clears out of your system quickly. Â In the example above, I would be more worried about the effects of Versed as opposed to Fentanyl, just because it's designed to be a sedative and it's longer acting then Fentanyl.
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Good luck! Â I hope things went well! Â