I think performer can stay. It's in GG5, etc.

@@ -14,0 +15 @@
+<gloss>performer</gloss>

https://context.reverso.net/translation/japanese-english/芸能人

https://ja.wikipedia.org/wiki/芸能人

https://ja.hinative.com/dictionaries/芸能人
芸能人 usually refers to actors, performers, singers, comedians and people in show business.

https://eow.alc.co.jp/search?q=芸能人
act（ショーなどの）
artiste〈フランス語〉〔可算〕
entertainer（ショーなどの）〔可算〕
entertainment personality
on-screen talent
performing artist
show business people
showfolk（集合的に）
talent〔集合的◆【同】entertainer〕

The wikipedia entry for 芸能人 literally asserts that English doesn't not have a single word that captures the broad nuances of this term...

As a practical matter though, it seems that "entertainer" (as in "entertainment industry") and "celebrity" are both more widely used as glosses than "performer".  eijiro doesn't even carry "performer".

As "entertainer" and "performer" are fairly synonyms outside of a bit nuance, maybe "performer" is just not necessary.
performer, defn: a person who entertains an audience.

I personally rather like "entertainment personality", which eijiro also has, as in "tv personality" "radio personality", "youtube personality" etc. But this seems to not be as commonly used. Well, I'll suggest it, and you can trim it.  Sandwiching "celebrity" between two "entertain" glosses helps show that President Obama is not a 芸能人, even if he is a celebrity. (Otherwise, maybe "celebrity" needs a proviso attached).

@@ -14 +13,0 @@
-<gloss>performer</gloss>
@@ -16,0 +16 @@
+<gloss>entertainment personality</gloss>

GG5, etc.

@@ -14,0 +15,2 @@
+<gloss>entertainer</gloss>
+<gloss>celebrity</gloss>