Is the female pine cone a sporophyte?

A pine tree is generally a Sporophyte - a multicellular, diploid, spore-producing organism. However, the created spores are haploid, and thus begin the gametophyte phase, in which the microspores (pollen) and megaspores (female receptors), will combine back into a gamete, and begin the sporophyte stage again.

So, the pine tree is mostly sporophyte, but has very small gametophyte parts that create gametes. They're very small, but they're there.