You can think of bridge mode and AP as synonymous for this purpose. In router mode, the router has two sides: LAN and WAN. In bridge mode, WAN is bridged with LAN so that the router can be used as an AP. The router firmware should shutdown DHCP when set to bridge mode.
You can use a router as an AP without switching to bridge mode too (e.g., when the router does not support bridge mode). In this case, you’ll need to connect a LAN port on the router to the upstream router, set a static IP address in the IP address range of the upstream router and disable DHCP yourself.