Is it considered a hefsek for the Ba'al Kore to say חזק חזק ונתחזק, and, if it's not an interruption, is there a different problem because he is saying something which is not written in the Torah?
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Rabbi Moshe Stern ("The Debreziner") in Shaalos U'Teshuvos Beer Moshe 3:28:2 says that the one getting the Aliyah should not say Chazak as it is an interruption.
However, per Otzar Minhagei Chabad everyone says Chazak including the one who got the Aliyah.