From my initial testing, ox-hugo Markdown exports work just fine with Hugo v0.60+ as well once you have this in your config.toml to allow embedded HTML in the Markdown content files:
[markup]
[markup.goldmark]
[markup.goldmark.renderer]
unsafe = true
See https://gohugo.io/news/0.60.0-relnotes/ for details.
If you are still using ox-hugo and if you are finding issues with ox-hugo + Hugo 0.60+, please open issues on ox-hugo repo.