Identification: unknown blue on the north shore

-rocky outcrop in the woods, north shore of the Vancouver Lower Mainland, about 2000 feet up -? just last week (june23)
Many thx

 

Im not one of the experts, but I wonder if one of them will say Polemonium or Phlox?

 

the basal leaves at the base were almost like a succulent....so I did not think polimonium or phlox
Trouble on the north shore too is it could be a garden escapee into the wild, dunno still!??

 

Claytonia or Montia, perhaps. Montia parvifolia?

 

I think that's it!
Didn't realize there was such variation with this flower, but searching eflora with that name now helped me confirm it.
Terrifc Andrey. Thanks.