Your post is virtually unreadable. Why did you post it like this? Surely you saw this in the initial preview along with the message: "If something looked unlike you expected it to you might need to check out Writeup Formatting Tips". Please follow that link and also read "How do I post a question effectively?" before posting again.

I created a new directory ~/tmp/pm_11133222_test_dir and this file:

ken@titan ~/tmp
$ cat > pm_11133222_rcfile
. ~/.bashrc
cd ~/tmp/pm_11133222_test_dir
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I modified the script I originally gave you. It's now:

#!/usr/bin/env perl

use strict;
use warnings;
use autodie ':all';

my @commands = (
    'set -vx',
    'pwd',
    "cd $ENV{HOME}",
    'pwd',
    'date',
    "/usr/bin/bash --rcfile $ENV{HOME}/tmp/pm_11133222_rcfile -i",
);

system qw{/usr/bin/xterm -e}, join ';', @commands;
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When I run that, I get an xterm window with this content:

+ pwd
/home/ken/tmp
+ cd /home/ken
+ pwd
/home/ken
+ date
Wed,  2 Jun 2021 16:38:27
+ /usr/bin/bash --rcfile /home/ken/tmp/pm_11133222_rcfile -i

ken@titan ~/tmp/pm_11133222_test_dir
$
[download]

All of my previous comments about the script being blocked and exiting from the xterm still apply.