Tests

Derive from `BaseSamplerV1` rather than `BaseSampler` #2735

Job	Run time
lint (3.10)	1m 30s
sdist (3.8, ubuntu-latest, x64)	3m 4s
sdist (3.9, ubuntu-latest, x64)	2m 55s
sdist (3.10, ubuntu-latest, x64)	4m 4s
sdist (3.11, ubuntu-latest, x64)	2m 53s
sdist (3.12.0, ubuntu-latest, x64)	3m 4s
tests-json-input (3.10, ubuntu-latest)	7m 18s
Linux Python 3.8	7m 56s
Linux Python 3.9	8m 33s
Windows Python 3.8	10m 44s
macOS Python 3.8	5m 23s
Linux Python 3.10	7m 32s
Windows Python 3.9	8m 4s
macOS Python 3.9	5m 6s
Windows Python 3.10	10m 13s
macOS Python 3.10	5m 23s
Windows Python 3.11	10m 54s
Windows Python 3.12.0	13m 38s
Linux Python 3.11	6m 51s
macOS Python 3.11	5m 9s
Linux Python 3.12.0	7m 59s
macOS Python 3.12.0	5m 23s
Linux Python 3.10 ('qiskit>=1.0.0rc1')	12m 11s
	2h 35m 47s

Provide feedback