Is it possible to remove tokens from dead projects/tokens that are totally useless and worth $0 from my wallet? Do I just send them to a random address? I don't want to burden anyone else with those shitcoins

As you can see, those tokens are useless in your personal wallet. Do you try to ask yourself the opposite question to see if it makes sense?
With tokens, you can transfer it to any wallet on the same platform you want and this will cost you a transaction fee. I find that almost all of our personal wallets contain such tokens, but i never get annoyed or loved by those nonsense.