Simple way is to exchange cash for bitcoin with someone using p2p trading, this won't leave any trace.
For this you need to have someone in your local area who is interested in trading, and you can get connected in different ways.
Other way is by using decentralized exchanges and services like PeachBitcoin app, Bisq, Robosats, etc.
But do you know that most of the exchanges in bitcoin that trade bitcoin through p2p KYC most be done before trading a large amount of Bitcoin in their platform, and in some exchanges they have about three types of verification, so the three types of verification they have I think your national identification ID or driving licence is inclusive, so from the kind of verification i have undergoes in exchanges I don't think that you can skip verification in any of them, and if we are to be traced in such exchanges, I believe the exchanges will provide our credentials and with it we can be traced and traffic
I seems everything in bitcoin exchanges as something that's not secret, and for we not be traced before using exchanges to convert bitcoin to fiat currency, I think we have to use mixer first and after using mixer we can transfer to exchanges, that will be less trace
P2P is a form of transaction or exchange of buying and selling directly between two individuals without an intermediary. That means P2P services provided by centralized platforms like Binance, Bybit...are not pure P2P by definition due to their intervention (intermediaries). In other words, exchanges are distorting the P2P concept and applying it to their centralized platforms, and that has been misleading many people.
P2P is the best way to stay anonymous and enhance privacy, but there are also certain risks such as scams, so we need to be careful when trading p2p.