Plant ID - seashore driftwood thingy

Any thoughts on this plant?
growing in Driftwood near the shore on Vancouver Island

We have it on our beaches/dunes here too. I always thought it looked related to miner's lettuce but I'm not certain

I'm wondering if it is miners lettuce - see small white flower bottom right.  But are the leaves round enough?  is miners lettuce salt tolerant?

I'm not certain about its salt tolerance, but I do find miner's lettuce on the most coastal wodded hillsides which I imagine get a fair bit of salt in their fog.

My assumption has always been that its a relative of miner's lettuce but it could just be a different morphology given the harsh environment. You've inspired me to see if I can find an old acres USA article about foraging beach plants for food to see if they.mention miner's lettuce

It reminds me of Crithmum maritimum Rock samphire, though I do not think that grows in where you are.