The language would have been created on the date at which the book was bookmarked for the first time
The Library of Babel is basically an encoding scheme: any possible string will exist somewhere in the Library, and the string itself is specified by a book location and page number. For example, the book you linked is located at:
Hexagon
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
Volume 25, Shelf 2, Wall 2.
You'll notice that the hexagon has a very long name. This is because it was effectively generated as an encoding of the content that was desired within the book. (This is a similar principle to, e.g., the esoteric programming language Seed.)
Now, the mere presence of an encoder/decoder for an encoding doesn't mean that all strings that can be encoded in it have already been created! Sure, they're potentially there, but someone has to actually perform the encode or decode step for anything to have been created.
In the case of the Library of Babel, you can "bookmark" a book to keep track of it, giving it a much shorter URL (that's why you have a short URL in your question above). Doing this means that someone has recognised the string in question and decided that it's interesting (perhaps by using it in the Library of Babel's search feature); this is a similar step to publication of a language specification, or the like. So that's the point at which the actual creative work applies.
Claiming that the language already existed in advance is no different from, say, using MetaGolfScript, which is disallowed in our standard loopholes. The Library of Babel defines all possible strings of letters (within certain restrictions), just like MetaGolfScript defines all possible programming languages. But defining everything is, in a way, similar to defining nothing; the creative step is in choosing what's interesting.