BANGKOK — Asian shares were mixed on Tuesday after U.S. stocks edged back from their record heights. U.S. futures edged lower while oil prices advanced. Traders are growing cautious after the New Year’s rally that has swept much of the world’s markets. “All in all, investors are taking a well-deserved breather to start the week,” Stephen Innes of SPI Asset Management said in a commentary. “This subdued tone suggests a moderation in investor sentiment following the recent tech-driven…