Typically, WiFi routers for Internet access are also Wifi access points. In such cases, the access point has a DHCP and DNS server. So you configure your own IP network. But if you already have a DHCP and DNS server in the local network, the operation of an additional wireless router does not make much sense. Especially because the cascading of routers unnecessarily creates difficulties. This usually manifests itself with connection problems.

In general, it is sufficient to operate Raspberry Pi as a network bridge, which mediates the data packets and connections between Wifi and LAN.
A network bridge, in English Bridge, connects two network segments. The connected computers are all in the same logical IP network and receive their IP configuration from the same address range.