The singular "they" is not some new thing. The singular "they" has been in use for over 700 years. It's existed for the entire lives of everyone alive today, and everyone uses it that way their entire life too (unless English isn't your first language).
It's the standard way to refer to a singular person in a gender neutral way. Every English speaker uses it that way every day, even the sheep who hate it because they're told to hate it for some stupid BS culture war reason. If someone says they don't understand it, or that it doesn't make sense, they're lying. See, I just used it twice there, and that sentence made perfect sense, didn't it? It didn't sound odd or strange.
Just because some people are not well read, and so they've never heard of the singular they before (even though they already use it), doesn't mean it's wrong to use it that way. The singular "they" even predates the singular "you" (because "you" originally referred to only groups of multiple people, much like "y'all" is these days, a singular "you" was "thou" instead, that's how old the singular "they" is, it dates back to the time of "thee" and "thou").
A lot of people need to read a book for once in their lives. Listen to the words that they say. Because they have literally been using "they" this way every day since they learned to speak English fluently, but it's only in the last few years that they "decided" to get mad about it, because people with political agendas who don't understand how English works TOLD them to get mad about it and so they did, like little sheep.
So their pronouns should be "baa/baa".
https://en.m.wikipedia.org/wiki/Singular_they