The ability to search with in the Symbols panel
We can search within the Swatches panel, can that be carried over to the Symbols panel?

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Gabriel Abib commented
Add a search system for symbols by name, we have the option to sort by name, but in cases of many symbols the search ends up being manual even in alphabetical order, it would be interesting if this were available both in the local symbol library and in the additional symbol libraries that we add.
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Laura Lees commented
Same as Kevin's answer. Want to search our own symbol assets i/o scrolling endlessly
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Kevin A. commented
Our organization would like this feature as well. We maintain a set of marketing assets that are divided into a few different symbol libraries. Being able to search by asset names within each of these libraries would expedite our day-to-day processes quite a bit.
I recognize this feature is offered by Adobe Libraries, but our workflow at the moment prohibits us from using that tool. As mentioned by the OP, this feature exists for swatch palettes, so it'd be nice to see the same functionality available to symbol palettes (and perhaps even others, like the Brush palette).