Yes, these two trademarks have been registered, but in different categories. You need to determine in which category you want to register the trademark in order to come up with a name.
Trademark registration process:
Trademark inquiry (within 2 days) → application document preparation (within 3 days) → submission of application (within 2 days) → payment of trademark registration fees → trademark form review (1 Months)→Issuance of trademark acceptance notice→Trademark substantive examination (12 months)→Trademark announcement (3 months)→Issuance of trademark certificate
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