How can I stop “Game Mode activated” pop-ups on my iPhone 14?

This article from 9 to 5 Mac may help you --> https://9to5mac.com/use-game-mode-iphone-ios-18/

Ps: When you say stop spamming you, you must think you're speaking with anyone from Apple here. You're not. This is a user to user only forum, which Apple doesn't actively participate, nor read for user comments. I can assure you that no one on this forum is spamming you.

Because the longer answers didn't seem to help:

You can't.

Asough wrote:

Did you read my inquiry? im not looking for an article about what game mode does. I want to disable this annoying message.

I did. But I hoped the article might shed some light on it for you. Since it must not have, please provide your feedback using the link Smilin-Brian provided. Again, this is a user to user only forum. NOT Apple Support. We are ALL volunteer users trying to help users like you. Clearly, I didn't help.

If you're in the US, you can also call Apple directly at: 800-MY-APPLE

You’ll need to provide ⇢ Product Feedback.

If enough requests are made, your feedback might help with future development, like a toggle in the settings.

Good luck! 👋🏼😉

Asough wrote:

So they add a popup spam message that spams people every time they want to play a game on their phone without giving us an option to turn it off.

You've been given the link to provide this feedback to Apple.

Personally, I try to live by the maxim, "Don't sweat the small stuff. And it's all small stuff."