This is normal, because most businesses will carve their own doors on their products. After all, this is also a kind of propaganda.
So it's normal for the landlord not to mind.
Of course, if you say it's a diamond, I suggest you identify it. A set of machines that can engrave numbers is not expensive, and ordinary businesses will not spend such a big cost. If your diamond is certified by GIA, there will be a number corresponding to GIA, which is one of the criteria for identifying the authenticity of diamonds.
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