It's unclear if Galadriel will recognize him in a new form, though her knowledge about Halbrand may influence her not to trust him, even in a disguise she's not quite sure is Sauron.

Source: https://screenrant.com/rings-of-power-galadriel-sauron-temptation-clark-response/

With his true identity discovered, Sauron will leave Halbrand behind in the coming seasons as he hatches schemes from Mordor and beyond.

Source: https://www.cbr.com/greatest-television-characters-have-more-than-one-name/