[mod] switching from pyright to basedpyright (plus first rules)

pyrightconfig.json :

  for the paths searx, searxng_extra and tests, individual rules were
  defined (for example, in test fewer / different rules are needed than in the
  searx package

searx/engines/__builtins__.pyi :

  The builtin types that are added to the global namespace of a module by the
  intended monkey patching of the engine modules / replaces the previous
  filtering of the stdout using grep.

test.pyright_modified (utils/lib_sxng_test.sh) :

  static type check of local modified files not yet commited

make test :

  prerequisite 'test.pyright' has been replaced by 'test.pyright_modified'

searx/engines/__init__.py, searx/enginelib/__init__.py :

  First, minimal typifications that were considered necessary.

Makefile

@@ -47,7 +47,7 @@ search.checker.%: install
 	$(Q)./manage pyenv.cmd searxng-checker -v "$(subst _, ,$(patsubst search.checker.%,%,$@))"
 
 PHONY += test ci.test test.shell
-test:    test.yamllint test.black test.pyright test.pylint test.unit test.robot test.rst test.shell test.shfmt
+test:    test.yamllint test.black test.pyright_modified test.pylint test.unit test.robot test.rst test.shell test.shfmt
 ci.test: test test.pybabel
 test.shell:
 	$(Q)shellcheck -x -s dash \
@@ -80,7 +80,7 @@ MANAGE += node.env node.env.dev node.clean
 MANAGE += py.build py.clean
 MANAGE += pyenv pyenv.install pyenv.uninstall
 MANAGE += format.python format.shell
-MANAGE += test.yamllint test.pylint test.black test.pybabel test.unit test.coverage test.robot test.rst test.clean test.themes test.pyright test.shfmt
+MANAGE += test.yamllint test.pylint test.black test.pybabel test.unit test.coverage test.robot test.rst test.clean test.themes test.pyright test.pyright_modified test.shfmt
 MANAGE += themes.all themes.simple themes.simple.analyze themes.fix themes.lint themes.test
 MANAGE += static.build.commit static.build.drop static.build.restore
 MANAGE += nvm.install nvm.clean nvm.status nvm.nodejs