Ready, you don’t need to hyphenate the word god when it’s lashon chol. You’re allowed to say “I don’t believe in elohim acherim” without saying elokim as well, because it’s not a name of Hashem.
There’s a popular (and hartzig) isaac honig song that includes the words “ain kemocha be’elohim Hashem”, there is none like you among the… Powerful ones? gods? I forgot the pshat in that phrase, but either way, when i sing that song i say elohim because it’s lashon chol.