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How would I have known about the existence of this tag if you had not told me about it? It's not in the list of tags.

You click the little info box on a game page and there you click on a tag. Or you guess common words that might be used.

There will always be people disagreeing with the choice of tags or even the meaning of tags. Or their relevance. You disagree with both, ok. Moving on.

And again a lie

Quote the whole thing. And not a part of it, that you can construe to your childish accusation of lying.

It is enough to remove the 3D tag from the list of tags and clear its description.

This is naive. The tags you suggest already exist, and almost no one bothers to use them or write a description for them. Did you write a description for them? If enough people do this, those tags might get a description. 

I think this is the core of the misunderstanding here: you expect tags to be used by a set of rules and strict definitions of tags. But that is not what tags are. They are an association with a concept. Not a pledge to adhere to a definition. The use of the term "description" and the fact that users can suggest new description for a tag should make this clear.

Tags do not follow any such ruleset. You did notice that devs are not required to fill up all their 10 tags? And more important there is no rules in which order the tags have to be chosen. Imagine this game:

It is "3d", uses "3dcg" as rewards, is a "3d game", is made in "Unity", "single-player", has "puzzle"s, was participant in "Ludum Dare" game jam, is "educational", has some "sports", the game is also scary as it is a "horror" game, it is playable "casual" and is of course "indie", the style is "Anime", the game is "funny" and has "multiple endings", it features "zombies" and "robots",  it can be played with a "controller" and features a "story rich" background of  "time travel", because, why not.

I count about 20 things I would like to tag. But which should I chose? And how do I judge the relevance of each tags? I might even chose to not select any of the 3d tags. There is no requirement to tag the dimensions of the game graphics. Now that would be a suggestion, to have a separate quality that devs could select. There is the input type in the game info box. You can put mouse, keyboard, controller and such in there. What you seek is an output type. 

Can you write me a definition of what a “word” is?

Your insulting is getting boring. 

But here you go. It depends on the context what you mean with "word". But they key attribute of words, is, that they are the building blocks of sentences and speech.

Tags are labels, qualities, attributes, whatever you might want to call them. They are even words according to the naive definition of, a word is a thing I can say.

To put it differently: tags are made out of words, but are not used as words. It is the words that are used as tags. And they can have different meaning in their usage as tags. Different from any definition in a dictionary or their technical meaning.

but now self-respecting sites have started tagging such games with the 3DCG tag

3dcg stems from games that used cg as a (short) term for the rare ingame graphic, that was static computer generated (images). Typically the reward pic. You might have noticed a certain common attribute all the games here on itch that used that tag do have.

Also, if you check google trends, you will find, that the term 3dcg has the same search frequency, as it had 5 years before. This is not a new term, nor is it used the way you think it is used. It also has not the meaning of screenshots. It just means computer generated. 

You might find a nieche site  that does have central "tagging" according to their own rules and put those screenshot games into 3dcg category. It is not wrong, but misleading. Other nieche sites will show you high quality short movies and pictures made in advanced raytracing apps not unlike the ones that produce cinema animation movies for the same "tag". Actually, you probably are used to one of those sites and think all sites are like this.

But what I used was the “Similar Games” button. The site searches for games with similar tags, but only uses official tags.

It says related. That is not quite the same as similar, but I do not know what the intention is. I would expect a selection of games according to the motto of: if you like this game, you might also like those games.

If it is merely a: look, those games have shared tags, what is the point? I can just click those tags in the game description. I can even combine the most important tags, that I liked the most. There is little of a button that does just this.

Also I tried a bit. Explain, why I can click related games on a game that only has one tag and will find lots of games, but none of those games share the single tag the game had. Or another situation, the games shown only share one or two of the tags.

This is speculation, but the tags it shows on related game, might just be the suggested tags and have little to do with the games shown. It takes about three months for the algorithm to analyze what games are related to each other. And itch will not tell how it works, because people will try to exploit this information. Also, they include random in ranking and in search results.

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But to end this. I believe I know exactly what you seek and why you do not find it. But I will not discuss specifics in open community.

The problem is, this is an indie platform. For indie games. This is amateur and hobby game developers without much budget, with the occasional small game studio. 3d is not cheap. It is more difficult to develop and it does not run on the potato level machines and mobile devices often used by users of the site. So using 3d will decrease the size of the audience, in addition to being hard to do.

What does this mean for your little search predicament. It means that you search for games, that are rare here. Especially in the nieche you are browsing.

You will find some here

https://itch.io/games/made-with-3ds-max

And of course with the 3d tag. Or the other tags I mentioned that imply a 3d game environment, most common is third-person. But you will not get an exhaustive list of such games with any tags.