### Godot version

v4.3.dev.custom_build [d76c1d0e5]

### System information

Linux

### Issue description

When opening the color picker by clicking on a color property the color changes slightly.

### Steps to reproduce

* Click on a property with value `Color(.5, .5, .5) ` in the inspector
* Click away
* Open the color picker again
* See the color change to Color(0.502, 0.502, 0.502) in the "RAW" tab

### Minimal reproduction project

[ColorChangeBug.zip](https://github.com/godotengine/godot/files/13545089/ColorChangeBug.zip)

if (!is_inside_tree()) {
		return;
	}
	if (!picker_window) {
		picker_window = memnew(Popup);
		picker_window->hide();
		picker_window->set_transient(true);
		add_child(picker_window, false, INTERNAL_MODE_FRONT);
		picker_texture_rect = memnew(TextureRect);
		picker_texture_rect->set_anchors_preset(Control::PRESET_FULL_RECT);
		picker_window->add_child(picker_texture_rect);
		picker_texture_rect->set_default_cursor_shape(CURSOR_POINTING_HAND);
		picker_texture_rect->connect("gui_input", callable_mp(this, &ColorPicker::_picker_texture_input));
		picker_preview = memnew(Panel);
		picker_preview->set_anchors_preset(Control::PRESET_CENTER_TOP);
		picker_preview->set_mouse_filter(MOUSE_FILTER_IGNORE);
		picker_window->add_child(picker_preview);
		picker_preview_label = memnew(Label);
		picker_preview->set_anchors_preset(Control::PRESET_CENTER_TOP);
		picker_preview_label->set_text("Color Picking active");
		picker_preview->add_child(picker_preview_label);
		picker_preview_style_box = (Ref<StyleBoxFlat>)memnew(StyleBoxFlat);
		picker_preview_style_box->set_bg_color(Color(1.0, 1.0, 1.0));