High-speed communication between two ESP8266

Hello to all,
I would like to implement a project that resembles the device that is used in fencing contests, ie a device that signals who between 2 contenders who touched first or determine if the touch was contemporary, all with WiFi communication.
I state that it is only recently that I am experimenting with ESP8266, which still has many aspects obscure than my knowledge.
The approach I thought of is to use 2 esp-01 which will work as clients and a NodeMcu as a server configured as an AP. The clients should be connected to the contact sensors and transmit to the server when the signal is present.
The server should compare the signals from the clients and determine which was first generated.
Regarding the code that must deal with the comparison between the signals is not a problem, while the real problem for which I ask your help is to understand what kind of connection is more suitable to minimize latencies because as you have certainly understood the time is the determining factor.
Believe me, I would have wanted to solve the problem by myself, but after many failed attempts I have to ask for your help.
It would be nice if someone had some really working tested code that puts 2 esp8266 in communication at the highest possible speed.
I would like to implement a project that resembles the device that is used in fencing contests, ie a device that signals who between 2 contenders who touched first or determine if the touch was contemporary, all with WiFi communication.
I state that it is only recently that I am experimenting with ESP8266, which still has many aspects obscure than my knowledge.
The approach I thought of is to use 2 esp-01 which will work as clients and a NodeMcu as a server configured as an AP. The clients should be connected to the contact sensors and transmit to the server when the signal is present.
The server should compare the signals from the clients and determine which was first generated.
Regarding the code that must deal with the comparison between the signals is not a problem, while the real problem for which I ask your help is to understand what kind of connection is more suitable to minimize latencies because as you have certainly understood the time is the determining factor.
Believe me, I would have wanted to solve the problem by myself, but after many failed attempts I have to ask for your help.
It would be nice if someone had some really working tested code that puts 2 esp8266 in communication at the highest possible speed.