How does routing work, Internet access from a jsm modem to a wired lan (gsm-wifi) - (wifi-lan) - (wan-lan) - my wired network?

Question

network hardware

It works like this: there is a jsm wi-fi modem Verizon with a SIM card for unlimited internet, it distributes the Internet via wi-fi, this wi-fi receives a wi-fi router (WAP1750) the cord from which goes to WAN dir-100, from the router WAN dir -100 from LAN ports I get Internet on my home network. How to simplify this scheme, because dir-100 often freezes in this mode of operation (only power on-off helps), and you access this dir-100 via the web and everything shows how it works, but does not work. When I do a tracert trace, I can’t see the WAP1750 router in order to go to it and select the Wi-Fi from which to take the Internet. In order to select the Wi-Fi from which to get the Internet, I connect the cord from the WAP1750 to LAN dir-100, go to the WAP1750 settings and select the Wi-Fi network from which I get the Internet, then you need to switch from lan dir-100 to van dir-100 in order to use the Internet. On dir-100, DHCP is enabled over LAN, over WAN, automatic assignment of an IP address that Verizon assigns to it. How to make it directly so that the WAP1750 router connects to Wi-Fi from which to take the Internet and distribute it to the lan. The trace does not show the WAP1750 according to the scheme (gsm verizon wifi) - (wifi WAP1750 lan) - (wan DIR-100 lan). Home network IP 55.55.55.xxx mask 255.255.255.0, LAN gateway DIR-100 55.55.55.55, WAN DIR-100 192.168.1.5 192.168.1.1 is Verizon's IP, and this is already from Verizon in jsm 100.87.99.74 Mask255.255.255.255 Gateway 100.87.99.74 DNS 10.74.32.6 over WAN, automatic assignment of an IP address that Verizon assigns to it. How to make it directly so that the WAP1750 router connects to Wi-Fi from which to take the Internet and distribute it to the lan. The trace does not show the WAP1750 according to the scheme (gsm verizon wifi) - (wifi WAP1750 lan) - (wan DIR-100 lan). Home network IP 55.55.55.xxx mask 255.255.255.0, LAN gateway DIR-100 55.55.55.55, WAN DIR-100 192.168.1.5 192.168.1.1 is Verizon's IP, and this is already from Verizon in jsm 100.87.99.74 Mask255.255.255.255 Gateway 100.87.99.74 DNS 10.74.32.6 over WAN, automatic assignment of an IP address that Verizon assigns to it. How to make it directly so that the WAP1750 router connects to Wi-Fi from which to take the Internet and distribute it to the lan. The trace does not show the WAP1750 according to the scheme (gsm verizon wifi) - (wifi WAP1750 lan) - (wan DIR-100 lan). Home network IP 55.55.55.xxx mask 255.255.255.0, LAN gateway DIR-100 55.55.55.55, WAN DIR-100 192.168.1.5 192.168.1.1 is Verizon's IP, and this is already from Verizon in jsm 100.87.99.74 Mask255.255.255.255 Gateway 100.87.99.74 DNS 10.74.32.6 The trace does not show the WAP1750 according to the scheme (gsm verizon wifi) - (wifi WAP1750 lan) - (wan DIR-100 lan). Home network IP 55.55.55.xxx mask 255.255.255.0, LAN gateway DIR-100 55.55.55.55, WAN DIR-100 192.168.1.5 192.168.1.1 is Verizon's IP, and this is already from Verizon in jsm 100.87.99.74 Mask255.255.255.255 Gateway 100.87.99.74 DNS 10.74.32.6 The trace does not show the WAP1750 according to the scheme (gsm verizon wifi) - (wifi WAP1750 lan) - (wan DIR-100 lan). Home network IP 55.55.55.xxx mask 255.255.255.0, LAN gateway DIR-100 55.55.55.55, WAN DIR-100 192.168.1.5 192.168.1.1 is Verizon's IP, and this is already from Verizon in jsm 100.87.99.74 Mask255.255.255.255 Gateway 100.87.99.74 DNS 10.74.32.6
How to log in via LAN to WAP1750 which is connected to WAN dir-100 (local in lan dir-100), WAP1750 is not visible on tracing!!! the trace looks like this <1 ms <1 ms <1 ms cpe-55-55-55-55.rochester.res.rr.com [55.55.55.55]
2 56 ms * 58 ms 10.74.226.6
3 48 ms 47 ms 48 ms 10.74.226.5
WAP1750 is visible only when I switch it from WAN dir-100 to Lan dir-100

Answer 1

A sheet of paper is taken. All devices are drawn on it and all subnets are affixed. Then drying oils are taken and the chapter about routing is read. Then the knowledge from the oilers is used to analyze "what am I doing wrong?"

Answer 2

Seriously? A 200 bucks corporate-grade Wi-Fi router next to an antique dir-100. :)

because dir-100 often freezes in this mode of operation (only power on-off helps)

Dir-100 hangs not because of a clumsy scheme, but because it has long been a place in a landfill. (Why not in a museum? As a museum piece, it is so-so, still in a landfill.) No, I understand that after a nuclear war, any rubbish will be of value, but we have not lived up to that yet.
About why white addresses from the USA (Arizona) turned out to be on the local network, you don’t have to ask. Cause Verizon rhymes with Arizona, that's why.

How to simplify this scheme

Buy something like this: https://market.yandex.ru/product--wi-fi-router-tp-...
and you will have one device instead of a chain of three.