Adversarial methods like that won't work. Google will know when their data starts getting poisoned. Their ad targeting will lose effectiveness, their profit margin impacted. And they will tweak and tighten their trackers until they can squeeze out a good fingerprint again. In the end Google simply rolls out Web Environment Integrity, and consumers won't be able to use the web unless they prove their identity. If you want to fight big tech, this is the endgame they will push toward. If you want to play a cat and mouse game with big tech, big tech wins in the end since they have all the money.
Tor Browser recognizes this. So Tor Browser just erases any existing identifiers, while accepting that websites can identify Tor users and block them if they want. It's a very explicit signal that "this is a user that cares about privacy", and it's up to the website to accept that user or not. If a website doesn't care, then usually it will work fine in Tor Browser. If a website does care and tries to block Tor users, then Tor Browser doesn't bother fighting it. There are better places for them to focus their energy.
Ultimately if you want the web to be private, the only solution is to convince everybody else to want the same. Websites won't block privacy-seeking users, if everybody is a privacy-seeking user. Then, even big tech will have to concede.