Welcome to the forum, Hazem!
Your Luger has been refinished and, unfortunately, heavily buffed during that process. If there was anything stamped above the chamber, it seems to have been removed, thus eliminating the year of manufacture if it was a military gun. We'd need good closeup pics of the top, sides, and front of the frame that show any other stampings or numbers.
Since this pistol's receiver doesn't have the relief notch on its top, front edge, it was never an Artillery.
The replacement barrel's profile shows that it was created by a gunsmith. The front sight was soldered in place. Original barrel style would have a dovetailed block integral with the barrel into which a sight blade was inserted.
With its value as a collectible eliminated by all the above, it still has value as a shooter, typically in the very rough ballpark of a thousand dollars.
My advice is to return to the range and use a magnet designed for the purpose to sweep the area to find the part that fell off, which can subsequently be soldered back in place. If the search is unsuccessful, a new piece would need to be fashioned and similarly installed.
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"... Liberty is the seed and soil, the air and light, the dew and rain of progress, love and joy."-- Robert Greene Ingersoll 1894
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