function updateSideButtonContainer() {
		const { showSideButtons } = appSettings.value;
		if (!showSideButtons) {
			sideButtonContainer.remove();
			return;
		}

		$body.append(sideButtonContainer);
	}
Updates the side button container based on the value of `showSideButtons` in `appSettings`.
If `showSideButtons` is `false`, the side button container is removed from the DOM.
If `showSideButtons` is `true`, the side button container is appended to the body element.