Use some other pin to hold RESET HIGH or to disconnect the button from RESET while the esp8266 is not running.

^{simulate this circuit – Schematic created using CircuitLab}

Use some other pin to hold RESET HIGH or to disconnect the button from RESET while the esp8266 is not running.

^{simulate this circuit – Schematic created using CircuitLab}

I asked on EE SE for the missing part of the circuit.

Use some other pin to hold RESET HIGH or to disconnect the button from RESET while the esp8266 is not running.

Use some other pin to hold RESET HIGH or to disconnect the button from RESET while the esp8266 is not running.

^{simulate this circuit – Schematic created using CircuitLab}