At the place I go they say the Our Father at the end of the meeting. But not the Catholic version like I know. so I'm always mumbling the last words.
But in the meetings most folks use the term "higher power" when they talk and share.
there is stuff in AA I don't care for but so far I'm just picking the things I like. My guess is your God doesn't care if you mumble along a closing prayer.
You know, in the United States our national anthem is just a terrible song. Nobody knows the words and the melody is so poor. And most people don't even know what the song is about. But we all stand there and mumble our way through it.
Something to consider.
And now - one of my favorite versions of that song: