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You then basically make the router only be a router without WiFi.
This would not be modem mode.
Boxes from EE, Virgin, BT etc do (at least**) three things : modem, router, WiFi.
Generally, you can turn off the last one or the last two.
** They also tend to do basic firewalling, broadcast storm protection and some other security-esque things. For the purposes of this discussion, these fall under the category of "routing".
The Google search term you need is "how to enable modem mode on EE router [insert name/type of router] ".
You then basically make the router only be a router without WiFi.