Welcome to the Pet Rescue Community
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Your trophies on your profile don't reset. It's just that they don't carry over to the new team. The reason they don't reset is because that would erase all your progress and you wouldn't be able to complete things like the Bandicoot Pass most likely if they removed them. The trophies you get on our team will still add to your total, it's just that on our team you start with 0.
I hope the team you are on is doing well. We still have 5 spots open though, so if you want to join on next season then we should still have room for you. We are all excited for our next full first season as a team. Also the fact that this upcoming season will feature Spyro makes it cooler.