Matlab crush with local glibc2.34 installed

I have Ubuntu20.04 and Matlab 2023b installed. When I start simulink(part of Matlab) the program crashes with: Inconsistency detected by ld.so: ../elf/dl-tls.c: 517: _dl_allocate_tls_init: Assertion 'listp != NULL' failed!, which is [well known issue](https://www.mathworks.com/matlabcentral/answers/1454674-why-does-matlab-crash-on-linux-with-inconsistency-detected-by-ld-so-elf-dl-tls-c-597-_dl_allo) with newer Matlab versions with linux OS that goes with glibc older than version 2.34. [Official bug fix proposed by MathWorks](https://github.com/mathworks/build-glibc-bz-19329-patch) is to patch your glibc for your whole OS, which is not desirable in my case. [I saw one solution](https://www.mathworks.com/matlabcentral/answers/1567188-simulink-crash-in-ubuntu-20-04) that would be suitable for me, which is installing glibc2.34 locally and then adding its path to LD_LIBRARAY_PATH variable, only while running Matlab, which would result in only Matlab using the other version of glibc. I have followed [this steps](https://askubuntu.com/questions/1345342/how-to-install-glibc-2-32-when-i-already-have-glibc2-31) to install glibc2.34 locally. I verified that it works with command:

user@hostname[~]: ~/glibc/glibc-2.34-install/bin/ldd --version
ldd (GNU libc) 2.34
Copyright (C) 2021 Free Software Foundation, Inc.
To oprogramowanie jest darmowe; warunki kopiowania są opisane w źródłach.
Autorzy nie dają ŻADNYCH gwarancji, w tym również gwarancji MOŻLIWOŚCI
SPRZEDAŻY lub PRZYDATNOŚCI DO KONKRETNYCH ZASTOSOWAŃ.
Autorami są Roland McGrath i Ulrich Drepper.

But after adding glibc/lib into LD_LIBRARAY_PATH, I got segfault error on simple binaries like ls:

user@hostname[~/glibc]❯ export LD_LIBRARY_PATH="/home/dsadowsk/glibc/glibc-2.34-install/lib:$LD_LIBRARY_PATH"
user@hostname[~/glibc]❯ ls
Segmentation fault
user@hostname[~/glibc]❯ /opt/matlab/R2023b/bin/matlab
Segmentation fault

It looks exactly like [this issue](https://unix.stackexchange.com/questions/272606/locally-installing-glibc-2-23-causes-all-programs-to-segfault) , but unfortunately I don't understand very well, how the solution works, and it doesn't work for the matlab here, as for ls command.

user@hostname[~/glibc]❯ /lib64/ld-linux-x86-64.so.2 --library-path /lib64 /bin/ls
build  glibc-2.34  glibc-2.34-install  glibc-2.34.tar.gz
user@hostname[~/glibc]❯ /lib64/ld-linux-x86-64.so.2 --library-path /lib64 /opt/matlab/R2023b/bin/matlab
/opt/matlab/R2023b/bin/matlab: error while loading shared libraries: /opt/matlab/R2023b/bin/matlab: invalid ELF header

How can I be able to run matlab binary with glibc2.34 installed locally and not for my whole system? Thank you for any thoughts you have.