I didn’t know ‘cafe’ was even a thing and wondered what’s fancy about café, so I had to Google a bit. I learned that, yes, Americans do spell ‘cafe’, but the most common spelling still is café. Even https://simple.wikipedia.org/wiki/Café redirects cafe to café.

https://www.merriam-webster.com/dictionary/cafe‘: “variants: or less commonly cafe”

https://dictionary.cambridge.org/dictionary/essential-americ...: “noun (also cafe)”

https://www.dictionary.com/browse/cafe also prefers to see the accent

That spelling preference may be shifting. I couldn’t find evidence for it, though.