Is E (134794) wifi:sta is connecting normal on serial monitor after disconnect to connect again?

[J-M-L]

well, you call connect() in the setup(), why would you be surprised that the connexion is made?

Side notes:

Don't post snippets (Snippets R Us!)

➜ where is state declared?
➜ please make an habit to indent the code in the IDE before copying, that's done by pressing ctrlT on a PC or cmdT on a Mac)

this looks nicer and easier to read, don't you think?

void loop() {
  // keep watching the push button:
  button.tick();
  
  // You can implement other code in here or just wait a while
  delay(10);
  
  if ( state == 0) {
    WiFi.begin();
    Serial.println(WiFi.localIP());
  }
  
  if (state == 1) {
    Disconnect();
  }
}

PS: state is likely a boolean, so you could do

if (state) {
  ...
} else {
  ...
}