mysql on Mac Monterey not working regardless what I do

I am running a Mac on Monterey v 12.4 with an M1 Max. I tried to install mysql on my Mac but I never get it to work regardless what I do. The first thing I tried to do is:

$ brew install mysql

Then I start the server:

$ brew services start mysql
==> Successfully started mysql (label: homebrew.mxcl.mysql)

But when I try to execute the following command or **any other mysql cli command**:

$ mysql_secure_installation

I always get the following error: > Error: Can't connect to local MySQL server through socket '/var/run/mysqld/mysqld.sock' (2) I've tried every possible fix I could find on the internet but nothing works. I then tried to install the community server from the mysql website. It shows me in the settings it it's running properly, but I can't connect to the Server. Neither using the workbench nor the cli. So I removed it again. I also did brew doctor and fixed the issues. I am really desperate to get the mysql server running for local programming and would appreciate any help! Thanks in advance!