Is there a way to make glossary entries whitout printing this entry as is in the text?

Question

I am using the glossary to make a listing of symbols in my file, but I got the following problem: some times symbols appear in the text with very specific arguments, one example is the following:

$$\bigsqcup_{t \in \mathbb{R}} A_t$$ 

But when appearing in the glossary I would like this to appear as:

$$\bigsqcup_{x \in X}$$

with a generic element $x$ and set $X$.

I have tried to do this by putting the \gls call into a \phantom command, i.e. $\phantom{\gls{disuni}}$ and removing the occupied space with \hspace*, but this doesn't generate a entry in the glossary, I have also tryied changing the color of the \gls to white with \changecolor{white} and removing the occupied space again with \hspace*, but because \gls appears to generate a link, in my file this link is made blue, so the \changecolor{white} has no effect in practice.

Here is a MWE:

\documentclass[11pt, a4paper, english,sumario=tradicional]{abntex2}
\usepackage{amsmath,empheq}
\usepackage{amssymb}
\usepackage{color}
\hypersetup{
%pagebackref=true,
pdftitle={@title}, 
pdfauthor={@author},
pdfsubject={\imprimirpreambulo},
pdfcreator={LaTeX with abnTeX2},
pdfkeywords={abnt}{latex}{abntex}{abntex2}{trabalho acadêmico}, 
colorlinks=true,            % false: boxed links; true: colored links
linkcolor=blue,             % color of internal links
citecolor=blue,             % color of links to bibliography
filecolor=magenta,              % color of file links
urlcolor=blue,
bookmarksdepth=4
}
\usepackage[symbols,nogroupskip,sort=use,automake]{glossaries-extra}
\makeglossaries
\begin{document}
$$ \bigsqcup_{t \in \mathbb{R} } \newglossaryentry{disun}{name={\ensuremath{\bigsqcup\limits_{x \in  X} }},sort={disun},description={ Disjoint union indexed by $X$  $\hspace{0.3pt}$, $\hspace{2pt}$},type={symbols}}\textcolor{white}{\gls{disun}} \hspace*{-10pt} $$
$$ \bigsqcup_{t' \in \mathbb{R} } \newglossaryentry{disuun}{name={\ensuremath{\bigsqcup\limits_{y \in  Y} }},sort={disuun},description={ Disjoint union indexed by $Y$  $\hspace{0.3pt}$, $\hspace{2pt}$},type={symbols}}\phantom{\gls{disuun}} \hspace*{-10pt} $$
\printglossary[type=symbols,title={Symbols List}]
\end{document}