China and Hong Kong stocks faced a grim trading session on Tuesday as they continued to suffer their biggest monthly losses since early 2024. Investor caution prevailed despite data showing a positive uptick in China's manufacturing activity.The Shanghai Composite Index fell by 0.38%, and the blue-chip CSI300 Index dipped by 0.58% by midday. Meanwhile, Hong Kong's Hang Seng Index decreased by 0.51%, with both indexes bracing for their largest drop since January.The decline can be attributed to fears of a global economic slowdown and potential supply chain disruptions arising from Middle East tensions, overshadowing encouraging domestic economic figures. Furthermore, energy…