Scriabin Sonata n. 2: passage with chords, voices and ties

[Franco Pasut]

I can't solve the transcription of a passage from Alexander Scriabin's Sonata No. 2 that involves chords, voices and ties all together.

In the following image I show you three highlighted fragments:

The first fragment is the original Scriabin's version of the score.

In the second fragment I tried to imitate the author's original score, but I can't keep the ties.

Here is an extract from the lilypond code:

\version "2.22.0"
\key gis \minor
\time 3/4
\relative c''
{
(...) <: gis~ cisis~ gis'~ >16
<<
{    < gis  gis' >4 < ais  ais' > }
\\
cisis2
>>
}

I also get the warning "attention: tie not completed". Ties are lost from the chord transition to multiple voices

The third fragment sounds like the original but it's graphically different from the original.
Here is the code:

\version "2.22.0"
\key gis \minor
\time 3/4
\relative c''
{
(...) < gis~ cisis~ gis'~ >16
< gis cisis~ gis' >4 < ais cisis ais' >
}

Is it reasonably possible, without hard tweaks, to reproduce the original version of the score with chords, voices and ties all together?

Thank you for any solution.