BRUSSELS—The European Union resolved on Monday to step up its influence in the Indo-Pacific region, using areas from security to health to protect its interests and counter China’s rising power, although the bloc insists its strategy is not against Beijing. Led by France, Germany, and the Netherlands, which first set out ways to deepen ties with countries such as India, Japan, and Australia, the 27-member bloc wants to use the nascent plan to show Beijing that it is against the spread of authoritarianism. The bloc “considers that the EU should reinforce its strategic focus, presence, and actions in the Indo-Pacific … based on the promotion of democracy, rule of law, human rights, and international law,” EU foreign ministers said in a statement. Diplomats said the plan was not “anti-China.” The 10-page document will now be followed by a more detailed strategy in September, foreign ministers agreed at a video conference, …