Same fingering position for fingering notation and \finger command in LilyPond?

Question

I have found that fingering notation and \finger command in LilyPond place fingering differently. How to make finger command behave the same way as ^n, _n, -n notations? Here is a MWE:

\version "2.22"
\include "italiano.ly"

\relative do'' {
    \key sol \minor
    <<
        {
            do2 <sib re>4 <do mib>4
        } \\
        {
            mib,4 (
                \once\set fingeringOrientations = #'(down)
                <sol \finger \markup \tied-lyric #"2~1">
            ) s s
        }
    >>
}

The result is not satisfactory:

I would rather prefer the placement of the fingering notation (to the right of the stem, just under the staff):

\version "2.22"
\include "italiano.ly"

\relative do'' {
    \key sol \minor
    <<
        {
            do2 <sib re>4 <do mib>4
        } \\
        {
            mib,4 (
                \once\set fingeringOrientations = #'(down)
                <sol_2>
            ) s s
        }
    >>
}

The result:

Is there a way to do it with \finger?

Answer 1

I found a solution:

\version "2.22"
\include "italiano.ly"

\relative do'' {
    \key sol \minor
    <<
        {
            do2 <sib re>4 <do mib>4
        } \\
        {
            mib,4 (
                \once \set fingeringOrientations = #'(down)
                \once \override Fingering.self-alignment-X = #LEFT
                <sol \finger \markup \tied-lyric #"2~1">
            ) s s
        }
    >>
}