Trace of executed programs called by a Bash script

Question

A script is misbehaving. I need to know who calls that script, and who calls the calling script, and so on, only by modifying the misbehaving script.

This is similar

Answer 1

~$ help caller
caller: caller [EXPR]
    Returns the context of the current subroutine call.

    Without EXPR, returns "$line $filename".  With EXPR,
    returns "$line $subroutine $filename"; this extra information
    can be used to provide a stack trace.

    The value of EXPR indicates how many call frames to go back before the
    current one; the top frame is frame 0.