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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.