Ways to introduce a name in the middle of sentence
Solution 1:
There is no different grammar specifically for the verb 'naming', which is what you seem to be asking. As Edwin commented, it could be a parenthesis between two commas, in which case you would be well-advised to omit the comma after tags and could if you wished omit named. It could be a noun phrase, a node named 'product'. Or you could start your sentence with the name: 'Product', the new node we have created...
The important thing is to work out what you intend, and make that clear to the reader. For example, I have no idea what "mention/count" is intended to signify; counting requires numbers rather than grammar, and mention in this context would refer to the difference between 'product' as a mathematical term and 'Product' as a name. From the rest of the sentence, I infer that you intend something like 'introduce'; if I am wrong, you should edit your question rather than trying to explain in comments.
Solution 2:
Here are some examples of mentioning name in a sentence:
named
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A man named John answered the door.
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They named their son John.
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John was named after his grandfather.
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He was named as the executor of the will.
namely
- We studied the cat family, namely, lions, tigers, and related animals.
- It was another color, namely red.
- He suggested that these so-called contributions are something else, namely taxes.
Called
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They've called the twins Robert and Julienne.
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His real name is Donald, but they've always called him Don.
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I wish he wouldn't keep calling me "honey" - it's so patronizing!
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He was called as chief witness.
i.e.
- The basic essentials of life, i.e. housing, food and water.
- The hotel is closed during the low season, i.e. from October to March.
- The price must be more realistic, i.e. lower.