The Yemen thing is a war and called that. Just not a US war. Wikipedia has it as "Yemeni Civil War (2014–present)". "The conflict has been widely seen as an extension of the Iran–Saudi Arabia proxy conflict." And then the US gets roped in as mates of the Saudis and enemies of the Iranians but it's not really a US thing and on the go before Donald got in there.
Yes, but we are not "involved" in the war, we are just _involved_ in the war. And I personally don't care if it was there when Trump took office, I care about what Trump did with it.