scams

So i was looking through a website that, i thought was owned by US government, searching for how to apply for green card. I found a form that required username and location for seeing if i was applicable for the green card lottery. I filled and submitted it, and after 1 day i received a call from someone presenting itself to be US immigration officer. We started talking and they asked me typical questions of : "What do you work", "Do you have family", "What is your education", etc.. I immediately noticed something is off, since that supposed American (female) had very thick accent on some words. Anyway, we finish with the questions, and she asked me to hold the line for 1 minute until they send the data to their superiors and evaluated if i'm applicable to enter the green card lottery or not. They came back and said i was approved, and that they will need 680$ for fees (which is more than a month's salary for me, currently). At that point i thought to myself that 100 % that this is a scammer. Idk if the lottery requires any fees to enter tho, so now im not sure... Do you think that woman was a scammer too ?

Edit: the website is - https://en.gco-con.com/