Error uploading sketch to Arduino UNO connected to ESP8266

So I’ve tried to get my ESP8266 to work properly but it just will not work. My issue is that when I try and upload my sketch to my Arduino UNO which is connected to ESP8266 I get this error message:

Arduino: 1.8.5 (Windows 10), Board: "Arduino/Genuino Uno"
avrdude: stk500_getsync() attempt 1 of 10: not in sync: resp=0x00
avrdude: stk500_getsync() attempt 2 of 10: not in sync: resp=0x00
avrdude: stk500_getsync() attempt 3 of 10: not in sync: resp=0x00
avrdude: stk500_getsync() attempt 4 of 10: not in sync: resp=0x00
avrdude: stk500_getsync() attempt 5 of 10: not in sync: resp=0x00
avrdude: stk500_getsync() attempt 6 of 10: not in sync: resp=0x00
avrdude: stk500_getsync() attempt 7 of 10: not in sync: resp=0x00
avrdude: stk500_getsync() attempt 8 of 10: not in sync: resp=0x00
avrdude: stk500_getsync() attempt 9 of 10: not in sync: resp=0x00
avrdude: stk500_getsync() attempt 10 of 10: not in sync: resp=0x00
An error occurred while uploading the sketch

I am using Blynk and its generated example code, I will post the actual code itself further down.
Now I did some googling and found out that one of the reasons for this error message can be that pin 0 is being in use so I tried to disconnect the RX and TX pins and then I could succesfully upload the code to the Arduino. When I pull up the serial monitor I can see the Blynk logo but then it obviously just says “ESP is not responding”. Then when I tried connecting the RX and TX pins again and reset the board nothing showed up in the serial monitor.
So my question is if anyone knows how to fix this?

The code I’m using:

/*************************************************************
  Download latest Blynk library here:
    https://github.com/blynkkk/blynk-library/releases/latest

  Blynk is a platform with iOS and Android apps to control
  Arduino, Raspberry Pi and the likes over the Internet.
  You can easily build graphic interfaces for all your
  projects by simply dragging and dropping widgets.

    Downloads, docs, tutorials: http://www.blynk.cc
    Sketch generator:           http://examples.blynk.cc
    Blynk community:            http://community.blynk.cc
    Follow us:                  http://www.fb.com/blynkapp
                                http://twitter.com/blynk_app

  Blynk library is licensed under MIT license
  This example code is in public domain.

 *************************************************************
  WARNING!
    It's very tricky to get it working. Please read this article:
    http://help.blynk.cc/hardware-and-libraries/arduino/esp8266-with-at-firmware

  This example shows how value can be pushed from Arduino to
  the Blynk App.

  NOTE:
  BlynkTimer provides SimpleTimer functionality:
    http://playground.arduino.cc/Code/SimpleTimer

  App project setup:
    Value Display widget attached to Virtual Pin V5
 *************************************************************/

/* Comment this out to disable prints and save space */
#define BLYNK_PRINT Serial


#include <ESP8266_Lib.h>
#include <BlynkSimpleShieldEsp8266.h>

// You should get Auth Token in the Blynk App.
// Go to the Project Settings (nut icon).
char auth[] = "9d02b0001ba14efd9b5ebffe2c5b2831";

// Your WiFi credentials.
// Set password to "" for open networks.
char ssid[] = "NETGEAR07";
char pass[] = "*******";

// Hardware Serial on Mega, Leonardo, Micro...
//#define EspSerial Serial1

// or Software Serial on Uno, Nano...
#include <SoftwareSerial.h>
SoftwareSerial EspSerial(0, 1); // RX, TX

// Your ESP8266 baud rate:
#define ESP8266_BAUD 115200

ESP8266 wifi(&EspSerial);

BlynkTimer timer;

// This function sends Arduino's up time every second to Virtual Pin (5).
// In the app, Widget's reading frequency should be set to PUSH. This means
// that you define how often to send data to Blynk App.
void myTimerEvent()
{
  // You can send any value at any time.
  // Please don't send more that 10 values per second.
  Blynk.virtualWrite(V5, millis() / 1000);
}

void setup()
{
  // Debug console
  Serial.begin(9600);

  // Set ESP8266 baud rate
  EspSerial.begin(ESP8266_BAUD);
  delay(10);

  Blynk.begin(auth, wifi, ssid, pass);
  // You can also specify server:
  //Blynk.begin(auth, wifi, ssid, pass, "blynk-cloud.com", 8442);
  //Blynk.begin(auth, wifi, ssid, pass, IPAddress(192,168,1,100), 8442);

  // Setup a function to be called every second
  timer.setInterval(1000L, myTimerEvent);
}

void loop()
{
  Blynk.run();
  timer.run(); // Initiates BlynkTimer
}

Thanks in advance.
Btw if there is already a topic which covers this particular issue please link it to me!

If you have the ESP-01 module, you need to have its pins properly connected.
https://tttapa.github.io/ESP8266/Chap02%20-%20Hardware.html

In addition, you need a separate 3.3V power supply for it.