I removed the compressor last night and took it to the shop of a friend to add the required amount of oil. I always like to see the positive side of things, even in situations like this one where I forgot to add the oil before the install. I had to pull the compressor to add the oil but the good thing was that I was able to read the serial number of the engine which is hidden behind the compressor. I will need that number when the time to register the car arrives. I was also able to solve another problem I had. The connector on the compressor is located at about 8 o'clock on the stock C5 compressor. This created a clearance issue with the chassis. As soon as the engine would have moved on hard acceleration or deceleration it would have broken that connector from the compressor clutch. I had even marked the chassis to modify it to gain some clearance. After pulling the compressor I noticed that there is another notch at about 2 o'clock on it that can accommodate the clutch connector. So, I asked my friend to pull out the clutch and relocate the connector in that notch. No more clearance issue there.
Before
After relocating the connector