@EXPORT contains symbols to always export

No, not at all. As stated in the documentation,

The arrays @EXPORT and @EXPORT_OK in a module hold lists of symbols that are going to be exported into the users name space by default, or which they can request to be exported, respectively.

The word "always" is not present anywhere on that page. It says the symbols in @EXPORT are exported by default.

If you want the symbols in @EXPORT plus others, you can use:

use Module;
use Module qw( other symbols );
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or

use Module qw( :DEFAULT other symbols );
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