Technically, the dollar is looking bullish.

It might seem counter-intuitive as the dollar and oil typically move inversely, but the driver here is geopolitics, not a demand or supply imbalance.
That changes the dynamic. Investors are treating the dollar as a safe haven regardless, even with the US involved in the conflict.
On top of that, a potential Hormuz closure hits Asian countries the hardest.
Russia and the US are far less exposed, which adds another layer to why capital is flowing into the dollar here.