A bidirectional amplifier does not exist as such because an amplifier has no direction. Maybe you mean a "Wi-Fi Repeater"? In that case it consists of two IP routers and two 2.4GHz transceivers, are you sure you want to build such complex device from scratch? Have a look at this simple DIY ESP8266 based Wi-Fi repeater https://electronnicproject.blogspot.com/2018/06/wifi-repeater.html
Just google ESP8266 Wi-Fi repeater and you should see many DIY projects.
Interesting design I came across recently: "Reconfigurable Dual Band Bidirectional Reflection Amplifier with Applications in Van Atta Array"
paper1: https://ffarza2.people.uic.edu/RF_Circuits.html#Van
paper2: https://www.semanticscholar.org/pap...Chen/e3189616dfea9257864d91ea20ff9328fe476700
It may be constructed using two FET transistors and microstrip quadrature hybrid coupler.
FET reflection-type amplifiers are often used for series-feedback oscillators (design procedures could be found in many sources). For bidirectional amplifier application we must minimize reflections from hybrid.
It looks like a Reflection Amplifier to me, with the caveat that I'm not into RF (yet). But I would go with that build it seems some work already gone into it and that it therefore might work.
In any case my initial response to you was a case of mistake identity so to speak, but Georgy.Moshkin cleared that up for me, props goes out to you my dear.