### Tested versions

v4.2.stable.official [46dc27791]

### System information

Windows 11- Godot v4.2.stable.official [46dc27791] - Vulkan (Forward+)

### Issue description

When I switch picker mode the next time I open it should be the pick mode I selected last time but it's not

https://github.com/godotengine/godot/assets/46812028/522c8b55-14cf-4781-963f-a465a03c9432



### Steps to reproduce

Toggle a picker mode off and on again

### Minimal reproduction project (MRP)

N/A
float b2 = float(sqrt(x * x + y * y) < 0.5);
	y -= 0.002;
	float b3 = float(sqrt(x * x + y * y) < 0.5);
	x += 0.002;
	float b4 = float(sqrt(x * x + y * y) < 0.5);
	COLOR = vec4(mix(vec3(1.0), clamp(abs(fract(vec3((a - TAU) / TAU) + vec3(1.0, 2.0 / 3.0, 1.0 / 3.0)) * 6.0 - vec3(3.0)) - vec3(1.0), 0.0, 1.0), ((float(sqrt(x * x + y * y)) * 2.0)) / 1.0) * vec3(v), (b + b2 + b3 + b4) / 4.00);
})");
	circle_ok_color_shader.instantiate();
	circle_ok_color_shader->set_code(OK_COLOR_SHADER + R"(
// ColorPicker ok color hsv circle shader.
uniform float v = 1.0;
void fragment() {
	float x = UV.x - 0.5;
	float y = UV.y - 0.5;
	float h = atan(y, x) / (2.0 * M_PI);
	float s = sqrt(x * x + y * y) * 2.0;
	vec3 col = okhsl_to_srgb(vec3(h, s, v));
	x += 0.001;
	y += 0.001;
	float b = float(sqrt(x * x + y * y) < 0.5);
	x -= 0.002;
	float b2 = float(sqrt(x * x + y * y) < 0.5);
	y -= 0.002;
	float b3 = float(sqrt(x * x + y * y) < 0.5);
	x += 0.002;
	float b4 = float(sqrt(x * x + y * y) < 0.5);
	COLOR = vec4(col, (b + b2 + b3 + b4) / 4.00);
})");
}
void ColorPicker::finish_shaders() {