Taking into consideration the above Scenario and Case study, write in your own understanding, a detailed report that will outlining the below:

What are the key $3$ factors T$-$MED Healthcare should consider when assessing the readiness of their current IT infrastructure for transitioning to a Service$-$Oriented Architecture $($SOA$)?$

Describe the potential $3$ challenges T$-$MED Healthcare might encounter during the implementation of a Service$-$Oriented Architecture $($SOA$)$ within their healthcare ecosystem and suggest strategies to overcome them?

How can T$-$MED Healthcare ensure that the adoption of a Service$-$Oriented Architecture $($SOA$)$ aligns with their objectives of improving patient care and enhancing collaboration among healthcare professionals?

Discuss the potential impact of adopting a Service$-$Oriented Architecture $($SOA$)$ on T$-$MED Healthcare's operational efficiency and cost$-$effectiveness and propose measures to optimize the utilization of service$-$oriented components?

Evaluate the ethical and regulatory implications of transitioning to a Service$-$Oriented Architecture $($SOA$)$ for T$-$MED Healthcare, particularly concerning patient privacy, data security, and compliance with healthcare regulations?