Trade name rights and trademark rights are also part of intellectual property rights. This depends on the specific situation and detailed analysis.
If it is purely prior use and does not infringe on other people's approved and registered trademarks, then there is no problem and you can use it without any worries.
If you have been using the same corporate name for promotions even though your main products are the same as others’ trademarks, it is recommended that you modify them as soon as possible. Doing so may easily cause public confusion. Misunderstanding, if the other party sues, it involves infringement, or you use another trademark, so there will be no conflict.