I think maybe a compromise is needed.
Firstly he dire his own washing and cleaning.
And if he is going clubbing he takes extra precautions when home. Regular testing, staying elsewhere for a few nights when clubbing, doing his own cleaning and cooking , keeping his distance, etc. Can he spend time at his university accommodation perhaps?
it's only natural he wants to go out to clubs etc. He's a young person who hasn't had these freedoms - possibly hasn't ever had the chance due to turning 18 during a pandemic.
Lots of CEV people are now back to work with no additional restrictions in place, including in busy overcrowded workplaces without SDing, etc and have been for a while. I'm only CV though was shielded initially and then added to the extra care group re vaccination at the end in March, but have been expected to work without masks and no social distancing on and off during the pandemic. I was fortunate enough to be protected during the two main lockdowns but had no choice to work during the autumn and since March, all without protection.
Whilst it must be very scary to be in your position some compromise will be needed for the whole household to move forward.
He had lied because he knows he'd be banned from going. He's a young person and won't see the risks in the same way.
So: Rather than shouting at him it would be better to make a plan of action where you can be safely protected and he can enjoy socialising with his friends.
If that means he needs to spend time living away from home then that's something you could look into.