When using DHCP, the (Wi-Fi) router is the DHCP server, that is, the network host that assigns the IP addresses. The computers do not choose their address from the pool; the router chooses and tells the computer what its address will be.
Therefore, you have two options if you want a computer to always have the same IP address:
Option 1: IP address reservation
Set up a static IP address reservation in the router, so the router knows to always give your computer the same IP address. How you do this, or whether it is even possible, depends on the type of router you have.
Your screenshot looks like the same software that Prolink routers use, and if that's true, you'd use one of the "Statically assigned" fields on the "Local Area Network (LAN) Settings" screen.
Option 2: Static IP address on the computer
Do not use DHCP (on that computer), and set that computer's IP address statically. You will also want to reconfigure the router so it doesn't try to assign that address to anyone else (so that the lowest address it gives out is 192.168.1.3).
If your router does indeed use Prolink software, then you would increase the "Start IP Address" setting to 192.168.1.3, then set your computer's static IP to 192.168.1.2.