How to run old appImages in the latest Debian set up? Fresh one runs, Old one doesn't

Two appImages downloaded:
audacity-linux-3.7.5-x64-22.04.AppImage
audacity-linux-3.2.4-x64.AppImage
As stated, the old one doesn’t run in the latest Debian Trixie.
It is the one that has been tested to not have the defective Noise Reduction Tool.
So how to run the old version in the latest Debian Set up?
The fresh one, executed from terminal, outputs:

/lib/x86_64-linux-gnu/libatk-1.0.so.0
/lib/x86_64-linux-gnu/libatk-bridge-2.0.so.0
/lib/x86_64-linux-gnu/libcairo-gobject.so.2
/lib/x86_64-linux-gnu/libcairo.so.2
/lib/x86_64-linux-gnu/libgio-2.0.so.0
/lib/x86_64-linux-gnu/libglib-2.0.so.0
/lib/x86_64-linux-gnu/libgmodule-2.0.so.0
/lib/x86_64-linux-gnu/libgobject-2.0.so.0
/lib/x86_64-linux-gnu/libgthread-2.0.so.0
/lib/x86_64-linux-gnu/libjack.so.0
/lib/x86_64-linux-gnu/libpango-1.0.so.0
/lib/x86_64-linux-gnu/libpixman-1.so.0
findlib: libportaudio.so: cannot open shared object file: No such file or directory
/home/rajib/Downloads/audacity-linux-3.7.5-x64-22.04.AppImage: Using fallback for library ‘libportaudio.so’
/lib/x86_64-linux-gnu/librsvg-2.so.2

The old one, when attempted to be run from terminal, doesn’t even open a terminal.

I tried running from the terminal.
$./audacity-linux-3.2.4-x64.AppImage
Output:

/lib/x86_64-linux-gnu/libatk-1.0.so.0
/lib/x86_64-linux-gnu/libatk-bridge-2.0.so.0
/lib/x86_64-linux-gnu/libcairo-gobject.so.2
/lib/x86_64-linux-gnu/libcairo.so.2
/lib/x86_64-linux-gnu/libgmodule-2.0.so.0
/lib/x86_64-linux-gnu/libgthread-2.0.so.0
/lib/x86_64-linux-gnu/libjack.so.0
findlib: libportaudio.so: cannot open shared object file: No such file or directory
~/audacity-linux-3.2.4-x64.AppImage: Using fallback for library ‘libportaudio.so’
/tmp/.mount_audacinHEWwR/bin/audacity: symbol lookup error: /lib/x86_64-linux-gnu/libatk-1.0.so.0: undefined symbol: g_once_init_enter_pointer

My intent is to run the version that works, from my POV, without my having to resort to Virtualisation tools.

While the problem for which this question was posted has been solved, for the sake of troubleshooting it would help me to know how to run an old AppImage without a virtualisation tool like QEMU.

Would be nice if you told us how it has been solved. Could maybe help other users. Please note that this is a forum and if you have a solution you should also mention it here…

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