Addition of numbers using button won't work

Yes, I actually do, my point is increasing the number by 1 and as it seems I can't find a way. Something simple like this has to be possible.

It IS possible. Stupidly simple, even.

What, exactly, are you counting? Where do you actually try to increase a number by 1?

Try this:

int pressCount = 0;
int stockCount = 20;

byte prevState = LOW;
byte currState;

byte switchPin = 2;

void setup()
{
   Serial.begin(115200);
   pinMode(switchPin, INPUT);
}

void loop()
{
   currState = digitalRead(switchPin);
   if(currState != prevState)
   {
      if(currState == HIGH)
      {
         pressCount++; // Increment the count of presses

         int plus = pressCount + stockCount;
         Serial.print("plus = ");
         Serial.println(plus);
      }
   }
   prevState = currState;
}

Upload that code, and open the serial monitor. Set the baud rate to 115200.

Press the switch a few times.

Then, examine the code to see the one line I snuck in there that your code doesn't have.