Poem is two.
I could imagine in British English it might be a two-syllable "poh-ehm" though
It's two in Merriam-Webster. If it were a song it would fly, but for a haiku I'm throwing a flag on the word-play.
All on page 956 if you'd like to check ;)
https://archive.org/details/merriamwebstersc00merr_6/page/95...
First down.