Preface: I am a web developer, and have a web application that is going to be served locally on a LAN for a client. I have never setup an individual access point, and have only really worked with those all in one Router/AP from Comcast type things.
Let's say I have a router running at 10.1.10.1, that also has a wireless access point plugged into one of its LAN's ports. Through that wireless access point, there are about 10 devices that need to connect to it.
I have an Intel NUC that has Ubuntu installed on it, where it hosts a React/Python application via Apache. All that needs to happen, is when someone types in 10.1.10.37(What I plan on setting the static ip of the NUC to) into a web browser, they should see the application.
The first thing I am confused about, is how are those devices assigned IP addresses? If the wireless access point is in AP mode, does the router actually do the DCHP assignment?
Let's say laptop on AP with IP address of 10.1.10.25 types in 10.1.10.137 in the address bar of Google Chrome, does this request get sent back through the AP to the router, where is then rerouted back to the AP? Or would the AP keep a pool of IP addresses and know where to send it to?
This sort of thing is not my area of expertise, and I would appreciate any help I could get. I would be glad to refactor my answer, as I feel I am misunderstanding some key pieces of LAN technology.