how to engrave an arpeggio based on a chord of differing length notes?

[Jean Louis THIRY]

Not an arpeggio here. This extract looks like a three voices guitar arrangement 
and I suppose the dotted half note being for a laissez-vibrer effect
I tried to reproduce it :

\version "2.23.2"
\fixed c'
{   \time 4/4
  <<
        {<a >2. }
    \\  {c2  c!2 }
    \\  {\once \teeny \override Rest.extra-offset= #'(1.7 . 0) e4\rest \tuplet 
3/2 { e8 e e } e4  <d f> } 
  >>
}