About anaconda

Anaconda is one of Python's distributions, so it will be installed separately from Python, which is the default on your home Python and Mac, and will create a different environment (although it's probably not in your environment).
There will be several python commands in the system, so you can say "overlapping".

I think the python command installed in Anaconda will work even if the Mac default python is erased.
But I think there are many other things that won't work.

We assume that the conda command is not available after the installation is complete because PATH is not passing.The Anaconda installer seems to add the PATH settings to ~/.bash_profile, what's going on?

cat to /.bash_profile
cat to /.bashrc
echo$PATH
ls~/anaconda/

Please investigate the situation with and so on.