@lamrith Unsure where you are in Pierce County but, do you buy any land access permits? If you do not, that doesn't exclude what I am about to tell you, it just gives you more access to some other land.
This is my youngest of 3 boys last year as a youth. I have put all of my boys in for a youth antlerless tag, in GMU 654, every year they were eligible. Sometimes they draw with no accrued points, sometimes they have to skip a year before they draw. All of them have successfully harvested deer while hunting those youth antlerless tags. It isn't specifically easy, as with kids, all of the stars often have to align, depending on their hunting experience and knowledge, but it is very doable, and I would almost say, you will get at least one opportunity if you get off the roads and hunt.
That is a west side opportunity that I am familiar with. I am certain there are others too. Additionally, iirc, and I would have to check the current regs, there is often a youth anterless 4 day hunt, during season, without a special permit, on the east side in specific GMU's.
Hope that helps.