Python symlink to python3

So I'm setting up my default variables in a new MacBook M1 and for some reason, my symlink doesn't seem to work.

Why is the following behaviour happening? The symlink from python to python3 gets lost somehow. /Users/overflow/Documents/tools is part of my PATH variable.

$ type python
python is /Users/overflow/Documents/tools/python

$ python -V
Python 2.7.16

$ ls -lah /Users/overflow/Documents/tools/python
lrwxr-xr-x  1 overflow  staff    16B  6 Oct 18:48 /Users/overflow/Documents/tools/python -> /usr/bin/python3

$ /usr/bin/python3 -V
Python 3.8.9

$ echo $PATH | sed 's/:/\n/g'
/Users/overflow/Documents/tools
/Users/overflow/Documents/Dropbox/productivity/bin
/Users/overflow/Documents/tools/confluent-6.1.0/bin
/Users/overflow/.sdkman/candidates/java/current/bin
/Users/overflow/.nvm/versions/node/v16.10.0/bin
/Users/overflow/bin
/usr/local/bin
/opt/homebrew/bin
/opt/homebrew/sbin
/usr/local/bin
/usr/bin
/bin
/usr/sbin
/sbin

from Python symlink to python3