I would avoid an elastic only brace as they just stretch out and become weaker and weaker over time.
I have had a McDavid lace up ankle support for nigh on 20 years now and it’s still going strong. Check sizing out though - iirc a small one fit me fine but check reviews on amazon for guidance etc
It’s like this - not the cheapest but 100% recommend:
I think Selley used to run them on both ankles!