Yup. “They” has been accepted in major style guides and it’s what I use. It’s at times a bit limiting because there can be ambiguity for singular and plural but overall it’s pretty much a non-issue.
Imagine having a language with no issues cobbling together significant portions of vocabulary from at least 8 different languages, and then ending up with the same pronoun for plural and singular, in both the 2nd and 3rd persons...