To check whether a trademark has the same name as others, in addition to fully understanding the "Trademark Examination Standards" published by the Trademark Office, you must also fully understand the "Table of Distinguishing Similar Goods and Services" and try to master it. For small items that are similar across categories, single-category searches and cross-searches can be conducted on the trademarks you want to register to minimize errors such as missed detections. my country's trademark registration follows the "first to file principle". For an identical or similar trademark application, whoever files the application for trademark registration first will get the exclusive right to use the trademark.
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