But then youre giving terrorists $80 million, which admittedly the US is already doing with the Saudi air force. I don't think that means we have to make it worse though.
The Houthi are not currently considered a terrorist organization by the U.S. or, as far as I can tell[1], any other nation. (They were for about a month, but the decision was reversed by Biden.)
Not taking a position (as I know very little about them), but this would seem to contradict your argument. Unless you're using "terrorist" to indicate your opinion of the Houthi, as opposed to any official designation.
[1] I rigorously conducted my own research. It consisted of Wikipedia, and only Wikipedia. Your mileage may vary.
During the Obama administration, the US was happy to capitulate to Iraqi militias that were proxies for Iran. And I don't intend that as a criticism, it might have been the least bad option at the time.