I will be applying for a study visa to Germany soon. But the thing is that I have been deported from a GCC country for overstaying my visa. There are no deportation stamps on my passport as I didn't have it with me at the time of deportation. They took my picture and fingerprints before deporting me.
So now when I apply for a study visa to Germany, will the deportation affect my chances of getting the visa? I am applying with a new passport. I am worried that if I lie about my it on the application and they find out later, I will not get the visa. If I tell the truth about it on the application, I will not get the visa. What do you suggest I do?

