New product status: Deprecate when stocks run out

Currently there is only 2 options on product status: Active and Deprecate.

I'd like to request adding a new status: Deprecate when stocks run out. This product cannot be ordered anymore but still it is allowed to sell until the stocks totally run out in all locations, then the product status will be set automatically to Deprecated.

And quite often some products are going to be discontinued but still the goods are still around for quite a few months.