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I got three different types of footnotes in text (numneric, asterisk and asterisk with bracket [*), **), ...]). Can I use all of them in the same time? And how?

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You can use the custom footnotes as described in my answer to your previous question HERE, and then use the counter to control the sets. For instance put this in your preamble:

\def\@fnsymbol#1{\ensuremath{\ifcase#1\or *)\or \or **) \or ***) \or *] \or **] or ***] 
     \or \dagger\or \ddagger\or \mathsection\or \mathparagraph\or \|
     \or \dagger\dagger \or \ddagger\ddagger \else\@ctrerr\fi}}
\renewcommand{\thefootnote}{\fnsymbol{footnote}}

Then inside the document when you want to use *] simply set the counter to

\setcounter{footnote}{3}

Now when you use \footnote{some footnote} you will get *]. When you want to go back to *) set the counter to 0. You could use the method depicted HERE to go back and forth on sets.

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