Cannot Connect to Internet except for Safe Mode

The Fact the computer will connect in Safe Mode tends to indicate some piece of Their Party Software is interfering with the connection.

Safe Mode would eliminate Third Party Software from loading and therefore allow the connection.

Reinstalling the OS would only replace missing or corrupted elements of the OS

The Etrecheck Application would show these Third Party Application if any were or are installed.

You are welcome and thank you too.

Do come back to the Apple Support Communities ( ASC )  in the future, if / or when additional questions may arise.

Only as a point of interest.

Any Third Party Applications that will interfere with the normal operation of the OS,  is an invitation for disaster and comprising the Operating System

Certain Applications maybe available on the Apple Apps Store - this only means the Developer is prepared to pay Apple a portion on each sale. What the Application may do to the computer is up to the User to check this out before purchase

Any of the below should be removed as per Developers Instructions

And Norton anything is definitely on the list to never allow near any Apple Computer

This will included Norton Antivirus

There are no known Windows-like Viruses in the wild that self replicate and affect macOS, because of the underling UNIX  Foundation and Permission Limitation. 

Additionally, and specific to Big Sur macOS 11 and Monterey macOS 12, the Operating System resides in a Sealed and Read Only Volume that can not be opened by the User and protects against from “ Bad Actor “ Software.

The Only thing this Antivirus software is protecting is the Bank Account of the Developers and for zero return to the User aside from the problems this software creates. and this computer has already experienced.

AntiVirus Developers purposefully Market their product to create a “ Fear Factor “. In so doing, creating a False Need for their Product.

The The Built in Security  is all that is required to protect the computer.

There is Adware & Malware which will affect the computer and is generally downloaded from “ Shady “ Websites or Developers who Inject this software into the download.

Should “ Certain & Specific Software “ referenced from above be installed - it will negatively impact macOS. It is suggested, download directly from the Developer , the application Malwarebytes for Mac. 

It is free or paid for added features. 

Run the Application and it should remove the malware / adware.

Once done, restart computer and test.

Run EtreCheck Pro and post the report here using the Additional Text area (document icon).

You don't have to pay for it. The free version is all you need. When it finishes scanning, use the Share Report button to copy the report and paste it in here.

Very welcome 🇨🇦