refactor(adk): consolidate store implementations #1179

Job	Run time
Wait for quality and unit checks	3m 6s
Detect matrix mode	6s
Build MyPyC wheels (ubuntu-latest py3.12)	15m 20s
Build source distribution	16s
Build standard pure Python wheel	19s
Test ubuntu-latest py3.12	12s
Verify package integrity	5s
	19m 24s

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