refactor(adk): consolidate store implementations #1186

Job	Run time
Wait for quality and unit checks	3m 10s
Detect matrix mode	6s
Build source distribution	22s
Build MyPyC wheels (ubuntu-latest py3.12)	15m 37s
Build standard pure Python wheel	15s
Test ubuntu-latest py3.12	11s
Verify package integrity	10s
	19m 51s

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