Tuplets and polyphonic cause single tuplet misalign and an extra note appearing when a tie was requested

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I am new to Lilypond so there is some chance I am using it incorrectly.

The time signature is 3/2. The first measure rhythmically is a c, d, g. The
c d and g are a 3/2 8th note tuplet and the g is supposed to be tied
through the end of the measure as well as the next. In the 3rd measure a
3/2 8th not tulet arpeggio plays.

\version "2.26.0"
\transpose c c' {
  \time 2/4
  % The fis2 on the 2nd measure wont tie and the first measure shows 3 fis
  << { \tuplet 3/2 {c8 d g~} g~4 g2 } \\ { s2 r4 \tuplet 3/2 {c8 d e} } >>
  % For some reason the last a will fall outside of the measure
  \tuplet 3/2 {c8 e g} \tuplet 3/2 {c' g e}
  c2
}
% I am aware the time signature seems like an odd choice it makes sense in
context but this is the minimum to reproduce the issue

See attached PDF or this image for the generation.

The problem is first that the tie between the 1/3 of the tuple and a
quarter note then a half note ends up making a mystery extra 1/8th note and
does not tie with the next measure.

Then the two tuple arpeggios somehow end up needing more than one measure
to complete

Any ideas?

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<div dir=3D"ltr">I am new to Lilypond so there is some chance I am using it=
 incorrectly.<br><br>The time signature is 3/2. The first measure rhythmica=
lly is a c, d, g. The c d and g are a 3/2 8th note tuplet and the g is supp=
osed to be tied through the end of the measure as well as the next. In the =
3rd measure a 3/2 8th not tulet arpeggio plays.<br><br>\version &quot;2.26.=
0&quot;<br>\transpose c c&#39; {<br>=C2=A0 \time 2/4<br>=C2=A0 % The fis2 o=
n the 2nd measure wont tie and the first measure shows 3 fis<br>=C2=A0 &lt;=
&lt; { \tuplet 3/2 {c8 d g~} g~4 g2 } \\ { s2 r4 \tuplet 3/2 {c8 d e} } &gt=
;&gt;<br>=C2=A0 % For some reason the last a will fall outside of the measu=
re<br>=C2=A0 \tuplet 3/2 {c8 e g} \tuplet 3/2 {c&#39; g e}<br>=C2=A0 c2<br>=
}<br>% I am aware the time signature seems like an odd choice it makes sens=
e in context but this is the minimum to reproduce the issue<br><br>See atta=
ched PDF or this image for the generation. <br><br>The problem is first tha=
t the tie between the 1/3 of the tuple and a quarter note then a half note =
ends up making a mystery extra 1/8th note and does not tie with the next me=
asure.<br><br>Then the two tuple arpeggios somehow end up needing more than=
 one measure to complete<br><br>Any ideas?</div>

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