IAC valve problem on Chevy Optra 4D 2004 LS 2.0L

Hello

I have a 2004 Optra 4D 2.0L that I bought over a year ago. The car frequently idles so I took to the dealership and they found out that the IAC valve is supposed to be replaced. However, it costs $300 for IAC valve replacement and the piece itself is around $200 and labour would be $100. I searched over the Internet and I found the part is around $30. I figured out that I can replace it myself but I don't know where it's actually located. So I attached a photo of the engine and numbers around each piece that resemble that piece and would like anyone who knows well about the car to tell me the number where the IAC valve is located based on the numbers in the picture.

Attachment 8416

Assuming it is not too different from the Aveo lump, it 'should' be located close to the throttle body, (ref #2) and will have a wire connector on it. So if you can find the throttle cable (should not be throttle by wire for 04), it should be very near the throttle body.
HTH