By John McCrank NEW YORK (Reuters) – The U.S. dollar index hit nearly a one-month low on Tuesday after European Central Bank President Christine Lagarde said euro zone interest rates will likely be in positive territory by the end of the third quarter, giving the euro a boost. Lagarde’s comments implied an increase of at least 50 basis points to the ECB deposit rate and fueled speculation of bigger hikes this summer to fight a surge in inflation tied to rising energy prices caused by the war in Ukraine and massive public-sector stimulus after the onset of the coronavirus pandemic. The euro was…