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The correct and formal solution.

Register the name of your game as a trademark (you must first check that the name you want to use does not exist).

If another game uses your name, hire a lawyer to send a cease and desist letter to its creators, and perhaps a DMCA to Itch to get the game taken down. However, you may need to go to court if the creator believes your claim is incorrect.

By the way, doing all this does not guarantee that you will win the trial, since this depends on several factors.

Aren't you a large company with a large marketing budget and a legal department?

DO NOT choose generic names or names inspired by generic elements, maybe "zombie operator" sounds cool to you, but it is a generic name that thousands of developers will also think is cool and will name their games that way (And surely , many have done it before you even thought about it, that is, strictly speaking, if those people have registered the name, it is possible that you cannot use it). Furthermore, since they are generic words, it is difficult to register them.

i get your point but my current low budget won't allow that ;)

if i got a DMCA from someone register as a trade mark can i change the name instead of itch take down the game?

dmca is not for trademarks. it is for copyright. names are not copyrightable.

If you do infringe on a trademark, the owner of that brand might try to send you a nasty cease and desist letter to which you could probably change the name of the game or whatever violated the brand.

Something like this happened to Sandtrix. Maybe you find the story on their discord or in the interwebs. https://mslivo.itch.io/sandtrix

Oh, and that Tetris company does not actually have the trademark to the name Tetris. There are literally hundreds of games by that name here on itch. They do however have some rights to a strange combination of markings, including music.

I highly doubt that anyone has or could get the trademark to the name of your current game. Including you. Your studio name is probalby not trademarkable either.