Deprecate paths to create Moments with duplicate or overlapping measurement keys #21540

Job	Run time
Misc check	27s
Packaging test	2m 13s
Type check	1m 11s
Lint check	45s
Format check	53s
Changed files test	1m 56s
Notebook formatting	48s
Isolated pytest Ubuntu	7m 35s
Notebook Tests against PR	5m 10s
Coverage check	6m 47s
Doc test	2m 39s
Typescript lint check	1m 3s
Changed Notebooks Isolated Test against Cirq stable (partition-2)	50s
Changed Notebooks Isolated Test against Cirq stable (partition-1)	49s
Pytest Windows (3.12)	5m 8s
Typescript tests coverage	1m 19s
Pytest Windows (3.11)	5m 1s
Bundle file consistency	1m 21s
Changed Notebooks Isolated Test against Cirq stable (partition-0)	47s
Typescript tests	40s
Shell check	15s
Build protos	41s
Changed Notebooks Isolated Test against Cirq stable (partition-3)	47s
Check consistency of requirements	32s
Pytest Windows (3.14)	5m 12s
Pytest Ubuntu (3.12)	6m 4s
Pytest Ubuntu (3.13)	6m 4s
Pytest Ubuntu (3.11)	5m 50s
Pytest MacOS (3.14)	2m 41s
Pytest Windows (3.13)	5m 12s
Pytest MacOS (3.13)	2m 27s
Pytest MacOS (3.11)	2m 36s
Pytest Ubuntu (3.14)	6m 6s
Pytest MacOS (3.12)	2m 25s
	1h 34m 14s

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