### Godot version

Godot 4 stable and Godot 3.x LTS

### System information

Fedora linux

### Issue description

If you use some custom logic inside _integrate_forces() to alter the state linear velocity and there is any reference to linear_velocity in physics process, the result in godot 3.5 is that it moves just a little bit, while in godot 4 is totally still.

### Steps to reproduce

For the example i created a simple scene in which i apply a force on the linear velocity in  _integrate_forces()  and added a line that add zero to it in physics process. You will not see any move, but it will work fine if you comment the line adding zero.


### Minimal reproduction project

[PhysicsBugReproduction.zip](https://github.com/godotengine/godot/files/12139772/PhysicsBugReproduction.zip)

Vector2 axis = p_axis.normalized();
	linear_velocity -= axis * axis.dot(linear_velocity);
	linear_velocity += p_axis;
	PhysicsServer2D::get_singleton()->body_set_state(get_rid(), PhysicsServer2D::BODY_STATE_LINEAR_VELOCITY, linear_velocity);
}
void RigidBody2D::set_linear_velocity(const Vector2 &p_velocity) {
	linear_velocity = p_velocity;
	PhysicsServer2D::get_singleton()->body_set_state(get_rid(), PhysicsServer2D::BODY_STATE_LINEAR_VELOCITY, linear_velocity);
}
Vector2 RigidBody2D::get_linear_velocity() const {
	return linear_velocity;
}
void RigidBody2D::set_angular_velocity(real_t p_velocity) {
	angular_velocity = p_velocity;
	PhysicsServer2D::get_singleton()->body_set_state(get_rid(), PhysicsServer2D::BODY_STATE_ANGULAR_VELOCITY, angular_velocity);
}
real_t RigidBody2D::get_angular_velocity() const {
	return angular_velocity;
}
void RigidBody2D::set_use_custom_integrator(bool p_enable) {
	if (custom_integrator == p_enable) {
		return;
	}
	custom_integrator = p_enable;
	PhysicsServer2D::get_singleton()->body_set_omit_force_integration(get_rid(), p_enable);
}
bool RigidBody2D::is_using_custom_integrator() {
	return custom_integrator;
}
void RigidBody2D::set_sleeping(bool p_sleeping) {