Replacing A Firewall. Keep the same IP for new firewall

I am replacing an existing Fortigate firewall that is currently at 10.1.201.2. I would like the new firewall to have the same ip address as the old firewall.

Before I replaced the old firewall, I verified that I could successfully ping it from a system with the ip address of 192.168.1.100

I configured the new firewall and first connected it directly to a PC with 10.2.201.99 (same subnet) address to verify that I could reach it via ping and via the admin interface of the new firewall so I know the configuration is correct.

I added the new firewall to our network by unplugging the old firewall and connecting the new firewall to the same port on the 3560 switch.

I added the hardware mac address of the new firewall to the 3560 switch using the commands:

configure terminal
mac-address-table static 0013.7233.b6ae vlan 201 interface fastEthernet 0/1
exit

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and verified that the mac address was added using:

show mac-address table vlan

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(I used Wireshark and ping to verify the mac address of the new firewall).

I can not ping the new firewall at 10.1.201.2 from 192.168.1.100 like I was expecting.

I would expect that If the new firewall is configured to use the same address as the old firewall and I added a static entry for the mac address to the switch that the switch would see the firewall.

Is there anything I am missing here?

Any suggestions?