Hopping in here. though you've had good advice, albeit somewhat scattered.
Whether or not to feed medicated feed is a personal decision, informed by circumstances. Some never feed it. Some always feed it, to birds of all ages. Most are somewhere inbetween. Eggs (and meat) from birds eating medicated feed (assuming amprolium, the most common coccidiostat in the US) is perfectly safe to consume. Even the same day they ate the feed. There is no "waiting period" for the stuff to get out of their system.
Personally, I would not feed medicated, given the choice. I have virgin ground, my flock has been "closed" for more than a year, there's never been a case of coccidosis on property, and I'm hatching birds specifically for suitability to my environment, so its in my interest to see which birds thrive in spite of, and which don't. Coccidia, btw, are present in every environment in which humans have been for long - there's no escaping it, the question is only whiether your birds guts and immune system can keep their numbers under control. So why did I mention "virgin" ground? Because it means there were never chickens here before mine, who might have experienced an outbreak I'm unaware of.
However, I get my feed from a local mill - its cheap, its fresh, and its good quality. Used by commercial poultry operations all around me - and its almost all medicated, even the adult "layer" feed. Eggs coming out of those farms, and going in those supermarket cortons came from birds eating medicated feed all their lives.
So go ahead and use the bag - no harm. Be aware that if you feed supplimental thiamin (a B vitamin, B-1 I think?), you can render the amprolium in the feed ineffective.
For the typical backyard owner, of the typical backyard flock, with typical backyard management practices, I (and a vocal majority of experienced BYC posters) am going to recommend an All Flock/FLock Raiser type feed, supplimented by free choice oyster shell in a seperate dish. There are almost no circumstances where I will recommend feeding "layer", in spite of its label-driven popularity, for reasons I could get into in a much lengthier post. That diet All Flock + Oyster Shell is recommended for all birds of all breeds, of all ages, and all genders. Its easy, offers good nutrition, and virtually no downside.
The only practical way to feed birds different feeds is to have different pens, with different food stations. You can't put different feeds in the same space and expect the birds to eat the right one - that's why All Flock plus free choice oyster is so often recommended. It provides better nutrition, to all your birds, than does layer, without the damaging extra calcium. Your layers, otoh, can get the extra calcium themy need - in the exact amounts they need - from the oyster shell. WHile those that don't need it will avoid it.
and, when integrating, abundance is a social lubricant. Even if feeding the same feeds, having multiple feed and water stations reduces stress and speeds successful integrations.
Full Disclosure: I don't feed my birds that way. Nor do I feed them straight layer - but as you can see from the sig below, I don't have the typical backyard flock, and I don't have the typical
backyard management
practices.