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simply create an SVI and ping with that, no issues
IP are configured in both layer 2 & Layer 3 switch. IP only make the datagram in frames & packets. L2 SW is of frames & L3 SW is of IP Routing and frames & packets
Each Layer Provides a service to the layer above it. Switch is a Network device, In a network all devices have IP Addresses including switches and routers. We can ping to the IP of Switch that we provided in configuration of switch