How to set program outcomes like listings and algorithms

Question

I have the following settings for the listing package and need to print program outcomes in the same manner, but with its own numbering and removing "Listing" in a caption), i.e., "Outcomes for Listing 1." Also, I need to turn on or turn off numbers depending on the task.

% !TeX program = xelatex
\documentclass[fontsize=11pt,paper=a5, pagesize=auto]{extbook}
\usepackage[a5paper]{geometry}
\usepackage[colorlinks=true, allcolors=black]{hyperref}
\usepackage{blindtext}
\usepackage{amsmath} % for math equations
\usepackage{amssymb}
\usepackage{fontspec}
\usepackage{polyglossia}
%% set main font
\setdefaultlanguage{english}
\setmainfont[Ligatures=TeX]{Liberation Serif}
%% set mono font
\setmonofont[Scale=MatchLowercase]{Noto Mono}
%% set the look of algorithms
%% https://tex.stackexchange.com/questions/381104/algorithm2e-why-are-some-of-my-texts-are-italicized-and-some-are-not
\usepackage[scaled, semibold]{sourcecodepro}
\usepackage[linesnumbered,ruled,vlined]{algorithm2e}
% ,algochapter
\usepackage{xcolor,xcolor-material}
\newcommand{\mykwsty}[1]{\textcolor{black}{\textbf{\texttt{#1}}}}
\SetKwSty{mykwsty}
\setlength{\algomargin}{1.5em}
\SetAlFnt{\small\ttfamily} 
\SetAlCapFnt{\normalfont\bfseries\hspace*{-0.35em}}
\SetNlSty{ttfamily}{\color{black}\scriptsize\bfseries}{}
%% https://tex.stackexchange.com/questions/653074/algorithm2e-make-the-topmost-and-bottom-horizontal-lines-thicker
\setlength\algoheightrule{0.5pt}        % The upper and the lower rules
\setlength\algotitleheightrule{0.5pt} % The rule between a title and code
%% set the look of listings 
%% https://tex.stackexchange.com/questions/73392/how-to-make-lstlisting-look-exactly-like-the-algorithm-environment
\usepackage{listings}
\usepackage{caption}
\lstset{
basicstyle=\small\ttfamily,
numbers=left,
numbersep=5pt,
numberstyle=\bf\color{black}\scriptsize\ttfamily,
frame=tb,
framexleftmargin=1.7em,
xleftmargin=\algomargin,
}
\renewcommand*\thelstnumber{\arabic{lstnumber}}
\DeclareCaptionFormat{mylst}{\hrule#1#2#3}
\captionsetup[lstlisting]{format=mylst,labelfont=bf,singlelinecheck=off,labelsep=colon}
% \renewcommand{\lstlistingname}{\ \ \ Listing}
%% start document
\begin{document}
% Algorithm using algorithm2e package
{
\begin{algorithm}[H]
    \DontPrintSemicolon
    \SetKwFunction{FMain}{factorial}
    \SetKwProg{Fn}{Function}{\string:}{}
    \Fn{\FMain{$n$}}{
        \KwIn{an integer $n$}
        \KwOut{the factorial of $n$}
        \If{$n \leq 1$}{
            \Return $1$;
        }
        \Return $n \times \FMain{n-1}$;
    }
    \caption{Recursive factorial function}
\end{algorithm}
}
\begin{lstlisting}[caption={Search for SLAE solution.},language=Octave, label=lst:7.1]
Example 1.1 Solution SLAE using backslash ()
display(Matrix of coefficients)
A = [2 -3 1; 2 1 -4; 6 -5 2]
display(Free Members Column)
b = [2; 9; 17]
display(Solution x = A\b)
x = A \b
display(Check norm(Ax-b))
norm(A  x - b)
display(Validation)
b - A * x
    \end{lstlisting}
\begin{lstlisting}[caption={Outcomes for the listing \ref{lst:7.1}}, nolol=true]
Matrix of coefficients
A =
    2 -3 1
    2 1 -4
    6 -5 2
Free Members Column
b =
    2
    9
    17
Solution x = A b
x =
    5.00000
    3.00000
    1.00000
Check norm(A*x-b)
ans = 1.8310e-15
Check
ans =
    4.4409e-16
    -1.7764e-15
    0.0000e+00
\end{lstlisting}
\listofalgorithms
\lstlistoflistings
\end{document}