By Rae Wee SINGAPORE (Reuters) – The dollar was trying to find a floor on Tuesday in holiday-thinned trade, pressured by signs that inflation in the world’s largest economy is cooling that will likely give the Federal Reserve room to ease interest rates next year. The yen meanwhile steadied near its recent five-month peak on the prospect that the Bank of Japan (BOJ) could soon mark an end to its ultra-easy policy. For most of 2022 and 2023, the policy has kept the Japanese currency under pressure as other major central banks globally embarked on aggressive rate-hike cycles. Currency moves were…