### Godot version

v4.2.beta1.official [b1371806a]

### System information

Ubuntu 22.04.3 LTS 22.04 - X11 - GLES3 (Compatibility) - AMD Radeon RX 560 Series (polaris11, LLVM 15.0.7, DRM 3.42, 5.15.0-88-generic) () - AMD Ryzen 3 1200 Quad-Core Processor (4 Threads)

### Issue description

![image](https://github.com/godotengine/godot/assets/1330325/7a986599-5a68-42a4-beb1-5d3b4bf7db6b)
![image](https://github.com/godotengine/godot/assets/1330325/e8b8546b-b47b-4add-9567-7f70709ab03c)

Culling 3D goes bellow 60 fps even with just about 50 simple animated models. With v4.2.dev6.official [57a6813bb] many more models can be spawned without fps drop. However, both versions do show high cpu usage for culling 3D. Without animations there's barely any usage.

### Steps to reproduce

Spawn models with animation with the Compatibility renderer.

### Minimal reproduction project

[CullMRP.zip](https://github.com/godotengine/godot/files/13400514/CullMRP.zip)

Mesh *mesh = mesh_owner.get_or_null(p_mesh);
	ERR_FAIL_NULL(mesh);
	Mesh *shadow_mesh = mesh_owner.get_or_null(mesh->shadow_mesh);
	if (shadow_mesh) {
		shadow_mesh->shadow_owners.erase(mesh);
	}
	mesh->shadow_mesh = p_shadow_mesh;
	shadow_mesh = mesh_owner.get_or_null(mesh->shadow_mesh);
	if (shadow_mesh) {
		shadow_mesh->shadow_owners.insert(mesh);
	}
	mesh->dependency.changed_notify(Dependency::DEPENDENCY_CHANGED_MESH);
}
void MeshStorage::mesh_clear(RID p_mesh) {
	Mesh *mesh = mesh_owner.get_or_null(p_mesh);
	ERR_FAIL_NULL(mesh);
	
	for (MeshInstance *mi : mesh->instances) {
		_mesh_instance_clear(mi);
	}
	for (uint32_t i = 0; i < mesh->surface_count; i++) {
		Mesh::Surface &s = *mesh->surfaces[i];
		if (s.vertex_buffer != 0) {
			GLES3::Utilities::get_singleton()->buffer_free_data(s.vertex_buffer);
			s.vertex_buffer = 0;
		}