US immigration/customs does not routinely ask about what medication you may be travelling with, nor do the routinely search bags on arrival.
Thus it is most likely carrying this medication will have zero impact on your entry to the US, and will not cause any delays in any form.
In the unlikely event you are asked, then you should answer honestly. Zoloft is a common medication in the US, and whilst it is a prescription medication it is NOT listed under the Controlled Substances Act (which generally contains drugs which are deemed to have the potential for abuse) and thus it’s unlikely that customs is going to be at all interested in it.
The US Customs and Border Protection websites has details on what is required when travelling with prescription medications, but they are things that you have already stated you planning to do, along with the recommendation not to bring more than a 90 days supply (although this can depend on the length of your planned stay in the US).
The main points are:
The page contains links to further information.
In general having prescription medicines will not cause any issues, as long as the guidelines are followed.
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