Installing Intel TBB on Mac OS Big Sur

Question

Due to certain dependencies, we are restricted to Mac OS Big Sur for the moment. We are trying to install Intel tbb via Homebrew with brew install tbb but failing with the following error. Based on the error message, it appeared to us Homebrew is trying to install Python 3.13.0, looks for Tkinter for the same, and is unable to find. So we tried to do brew install python-tk. Homebrew decided that Python 3.13.0 is a dependency, and decided to install the latter first, and so we are stuck in a cycle. Could you see where we are going wrong, and how we could fix this issue so as to have tbb up and running? Thank you very much!

==> Installing dependencies for tbb: python-setuptools, python@3.13, pcre2, swig and hwloc
==> Installing tbb dependency: python-setuptools
==> Downloading https://ghcr.io/v2/homebrew/core/python-setuptools/manifests/75.6.0
Already downloaded: /Users/senthil/Library/Caches/Homebrew/downloads/78d060d30c6c92fd7d0f6232745566828cf6b8bc6c56732c79acd6daf82d7fda--python-setuptools-75.6.0.bottle_manifest.json
==> Pouring python-setuptools--75.6.0.all.bottle.tar.gz
🍺  /usr/local/Cellar/python-setuptools/75.6.0: 984 files, 8.2MB
==> Installing tbb dependency: python@3.13
Warning: Your Xcode (12.5.1) is outdated.
Please update to Xcode 13.2.1 (or delete it).
Xcode can be updated from the App Store.

==> Patching
==> Applying 3.13-sysconfig.diff
==> ./configure --enable-ipv6 --datarootdir=/usr/local/Cellar/python@3.13/3.13.0_1/share --datadir=/usr/local/Cellar/python@3.13/3.13.0_1/s
==> make
==> make install PYTHONAPPSDIR=/usr/local/Cellar/python@3.13/3.13.0_1
Last 15 lines from /Users/senthil/Library/Logs/Homebrew/python@3.13/03.make:
/usr/bin/install -c -m 755 Modules/_socket.cpython-313-darwin.so /usr/local/Cellar/python@3.13/3.13.0_1/Frameworks/Python.framework/Versions/3.13/lib/python3.13/lib-dynload/_socket.cpython-313-darwin.so
/usr/bin/install -c -m 755 Modules/syslog.cpython-313-darwin.so /usr/local/Cellar/python@3.13/3.13.0_1/Frameworks/Python.framework/Versions/3.13/lib/python3.13/lib-dynload/syslog.cpython-313-darwin.so
/usr/bin/install -c -m 755 Modules/termios.cpython-313-darwin.so /usr/local/Cellar/python@3.13/3.13.0_1/Frameworks/Python.framework/Versions/3.13/lib/python3.13/lib-dynload/termios.cpython-313-darwin.so
/usr/bin/install -c -m 755 Modules/_posixshmem.cpython-313-darwin.so /usr/local/Cellar/python@3.13/3.13.0_1/Frameworks/Python.framework/Versions/3.13/lib/python3.13/lib-dynload/_posixshmem.cpython-313-darwin.so
/usr/bin/install -c -m 755 Modules/_multiprocessing.cpython-313-darwin.so /usr/local/Cellar/python@3.13/3.13.0_1/Frameworks/Python.framework/Versions/3.13/lib/python3.13/lib-dynload/_multiprocessing.cpython-313-darwin.so
/usr/bin/install -c -m 755 Modules/_ctypes.cpython-313-darwin.so /usr/local/Cellar/python@3.13/3.13.0_1/Frameworks/Python.framework/Versions/3.13/lib/python3.13/lib-dynload/_ctypes.cpython-313-darwin.so
/usr/bin/install -c -m 755 Modules/_curses.cpython-313-darwin.so /usr/local/Cellar/python@3.13/3.13.0_1/Frameworks/Python.framework/Versions/3.13/lib/python3.13/lib-dynload/_curses.cpython-313-darwin.so
/usr/bin/install -c -m 755 Modules/_curses_panel.cpython-313-darwin.so /usr/local/Cellar/python@3.13/3.13.0_1/Frameworks/Python.framework/Versions/3.13/lib/python3.13/lib-dynload/_curses_panel.cpython-313-darwin.so
/usr/bin/install -c -m 755 Modules/_sqlite3.cpython-313-darwin.so /usr/local/Cellar/python@3.13/3.13.0_1/Frameworks/Python.framework/Versions/3.13/lib/python3.13/lib-dynload/_sqlite3.cpython-313-darwin.so
/usr/bin/install -c -m 755 Modules/_ssl.cpython-313-darwin.so /usr/local/Cellar/python@3.13/3.13.0_1/Frameworks/Python.framework/Versions/3.13/lib/python3.13/lib-dynload/_ssl.cpython-313-darwin.so
/usr/bin/install -c -m 755 Modules/_hashlib.cpython-313-darwin.so /usr/local/Cellar/python@3.13/3.13.0_1/Frameworks/Python.framework/Versions/3.13/lib/python3.13/lib-dynload/_hashlib.cpython-313-darwin.so
/usr/bin/install -c -m 755 Modules/_uuid.cpython-313-darwin.so /usr/local/Cellar/python@3.13/3.13.0_1/Frameworks/Python.framework/Versions/3.13/lib/python3.13/lib-dynload/_uuid.cpython-313-darwin.so
/usr/bin/install -c -m 755 Modules/_tkinter.cpython-313-darwin.so /usr/local/Cellar/python@3.13/3.13.0_1/Frameworks/Python.framework/Versions/3.13/lib/python3.13/lib-dynload/_tkinter.cpython-313-darwin.so
install: Modules/_tkinter.cpython-313-darwin.so: No such file or directory
make: *** [sharedinstall] Error 71