Remove validation methods from primitive base classes (backport #11052)

[mergify]

This is an automatic backport of pull request #11052 done by Mergify.
Cherry-pick of 05d958b has failed:

On branch mergify/bp/stable/0.46/pr-11052
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Changes to be committed:
	modified:   qiskit/primitives/base/base_estimator.py
	modified:   qiskit/primitives/base/base_primitive.py
	new file:   qiskit/primitives/base/validation.py
	modified:   test/python/primitives/test_estimator.py
	modified:   test/python/primitives/test_primitive.py

Unmerged paths:
  (use "git add <file>..." to mark resolution)
	both modified:   qiskit/primitives/base/base_sampler.py

To fix up this pull request, you can check it out locally. See documentation: https://docs.github.com/en/github/collaborating-with-pull-requests/reviewing-changes-in-pull-requests/checking-out-pull-requests-locally

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[jakelishman]

get in the queue dammit

[coveralls]

Pull Request Test Coverage Report for Build 7742504834

• -10 of 111 (90.99%) changed or added relevant lines in 4 files are covered.
• 18 unchanged lines in 3 files lost coverage.
• Overall coverage decreased (-0.002%) to 86.911%

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Changes Missing Coverage	Covered Lines	Changed/Added Lines	%
qiskit/primitives/base/base_sampler.py	5	7	71.43%
qiskit/primitives/base/validation.py	86	88	97.73%
qiskit/primitives/base/base_estimator.py	5	8	62.5%
qiskit/primitives/base/base_primitive.py	5	8	62.5%

Files with Coverage Reduction	New Missed Lines	%
qiskit/primitives/utils.py	1	87.95%
crates/qasm2/src/lex.rs	5	91.94%
crates/qasm2/src/parse.rs	12	97.15%

Totals
Change from base Build 7741148813:	-0.002%
Covered Lines:	75024
Relevant Lines:	86323

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💛 - Coveralls