According to official website, the Trademark Office, Approaching Tibet has not been registered as a trademark. You can apply for registration.

You can register, change, transfer, renew and monitor trademarks by logging in to www.shewentm.com or calling 1-8268545. You can also inquire about trademarks for free, and there are professional trademark consultants and lawyers to answer trademark questions.

trademark registration process: trademark inquiry (within 2 days) → preparation of application documents (within 3 days) → submission of application (within 2 days) → payment of trademark registration fee → trademark form review (within 1 month) → issuance of trademark acceptance notice → trademark substantive review (within 12 months) → trademark announcement (within 3 months) → issuance of trademark certificate.