ESP-01 question

Hello,
i did programming successfully my ESP-01 and connect to my network, using Esp8266 Serial Module Board.
i Use this library to connect my ESP - GitHub - tzapu/WiFiManager: ESP8266 WiFi Connection manager with web captive portal and work just fine.
When i move to the project and connect to my Arduino Nano , the wifi module not connect to the network.
Can you help me, how to connect my ESP-01 to Nano
I use this method, but have no success.

Ignore Uno on the picture. I use nano, but follow the wiring.

You have Arduino Rx connected to ESP Rx. Receivers won’t receive anything from another receiver. Tx>Rx and Rx<Tx

Nano's 3.3 V pin can not supply enough current for the esp8266