Hi Count,
It's a Sea Spurrey. It could be the Lesser Sea Spurrey or the Greater Sea Spurrey. The Greater has a membranous wing around its seed and the Lesser does not. The seeds will probably not be ripe yet so I will guess that it is the Greater (Spergularia media) because the flower colour is pale pinky-blue and the calyx (the green bits of the flower) are not longer than the pink bits.
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