Vertical position of Tie and Script

[Masaki, Akikazu]

Hello,

How to set script position closer to its note than ties?
In default, ties are always closer to the note than scripts, but depending on 
the case, contrary is better.

e.g.
%%%%%%%%
\version "2.24.0"
{
  \override Tie.staff-position = 5
  c''1--~ c''
}
%%%%%%%%

In this case, the tenuto should be placed immediately above the note.
Perhaps overriding Script.extra-offset is one of solutions, but is there 
another property controlling the priority of Tie and Script?

Akikazu