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  prerequisite 'test.pyright' has been replaced by 'test.pyright_modified'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

searx/engines/__builtins__.pyi

@@ -0,0 +1,43 @@
+# SPDX-License-Identifier: AGPL-3.0-or-later
+"""The builtin types that are added to the global namespace of a module by the
+intended monkey patching of the engine modules.
+
+.. attention::
+
+   Monkey-patching modules is a practice from the past that shouldn't be
+   expanded upon.  In the long run, there should be an engine class that can be
+   inherited.  However, as long as this class doesn't exist, and as long as all
+   engine modules aren't converted to an engine class, these builtin types will
+   still be needed.
+"""
+from __future__ import annotations
+
+import logging
+
+logger: logging.Logger
+supported_languages: str
+language_aliases: str
+
+# from searx.engines.ENGINE_DEFAULT_ARGS
+about: dict[str, dict[str, str | None | bool]]
+categories: list[str]
+disabled: bool
+display_error_messages: bool
+enable_http: bool
+engine_type: str
+inactive: bool
+max_page: int
+paging: int
+safesearch: int
+send_accept_language_header: bool
+shortcut: str
+time_range_support: int
+timeout: int
+tokens: list[str]
+using_tor_proxy: bool
+
+# from searx.engines.check_engine_module
+network: str
+
+# from searx.engines.update_attributes_for_tor
+search_url: str