(a) In a lawsuit by a tenant under either a written or oral lease for a dwelling or in a suit to enforce a legal obligation of the owner as landlord of the dwelling, the owner's agent for service of process is determined according to this section.
(b) If written notice of the name and business street address of the company that manages the dwelling has been given to the tenant, the management company is the owner's sole agent for service of process.
(c) If Subsection (b) does not apply, the owner's management company, on-premise manager, or rent collector serving the dwelling is the owner's authorized agent for service of process unless the owner's name and business street address have been furnished in writing to the tenant.