Entitlements are units of customer support in Salesforce, such as phone support or web support. They allow you to define different levels of support for different customers and ensure that agents are working within the service level agreement (SLA). You can use entitlements to track service contracts, create service level agreements, and verify customer eligibility for support. Verified References: [Salesforce Help: Entitlement Management]

Path for Cases is a feature that allows service reps to see where they are in the process of resolving a case and what steps they need to take next. Path for Cases displays key fields and guidance for each stage of the case lifecycle, such as New, Working, Escalated, or Closed. Path for Cases can help a Tier 2 service representative take over case processing from Tier 1 and know how far Tier 1 had progressed in troubleshooting by showing them the current status and values of the case. Verified References: Service Cloud Consultant Certification Guide & Tips, Set Up Path for Cases

Adding more support phone lines is a solution that can address the problem of the support team being unable to provide same-day customer assistance due to high demand. Adding more support phone lines can increase the capacity and availability of the support team to handle incoming calls from customers. This can reduce the wait time and improve customer satisfaction. Verified References: :
https://help.salesforce.com/s/articleView?id=sf.service_phone_overview.htm&type=5 :
https://help.salesforce.com/s/articleView?id=sf.service_phone_setup.htm&type=5