Don't run pyright basic checks on projects with strict pyright settings in CI

[hamdanal]

Relevant CI configuration:

typeshed/.github/workflows/tests.yml

Lines 126 to 140 in 6789530

	- name: Run pyright with basic settings on all the stubs
	uses: jakebailey/pyright-action@v3
	with:
	version: PATH
	python-platform: ${{ matrix.python-platform }}
	python-version: ${{ matrix.python-version }}
	annotate: ${{ matrix.python-version == '3.13' && matrix.python-platform == 'Linux' }} # Having each job create the same comment is too noisy.
	- name: Run pyright with stricter settings on some of the stubs
	uses: jakebailey/pyright-action@v3
	with:
	version: PATH
	python-platform: ${{ matrix.python-platform }}
	python-version: ${{ matrix.python-version }}
	annotate: ${{ matrix.python-version == '3.13' && matrix.python-platform == 'Linux' }} # Having each job create the same comment is too noisy.
	project: ./pyrightconfig.stricter.json

This could lead to a deadlock situation with Schrodinger's pyright: ignore comments that are only relevant to the strict run but throw error: Unnecessary "# pyright: ignore" in the basic checks run. See recent CI runs in #16004 for an example.

[srittau]

Related: #11769