Solved my problem by Help in R. Under " 4.2 Uninstalling under macOS" I found a Terminal script: sudo rm -Rf /Library/Frameworks/R.framework /Applications/R.app
/usr/local/bin/R /usr/local/bin/Rscript
this removes both ( R for macOS consists of two parts: the GUI (R.APP) and the R framework.) If you want to get rid of R more completely using a Terminal, simply run: The script above.
Running RStudio Version 2022.12.0+353 (2022.12.0+353) went smooth.
Thanks again to @andresrcs for pointing me in the right direction