refactor(Rich): Centralize _RICH_AVAILABLE and version check

Addresses a PR comment by bhimrazy regarding inconsistent _RICH_AVAILABLE checks.

This commit:
1. Defines _RICH_MIN_VERSION = "10.2.2" in utilities/imports.py.
2. Updates _RICH_AVAILABLE in utilities/imports.py to use this minimum version.
3. Modifies callbacks/progress/rich_progress.py to import and use the centralized _RICH_AVAILABLE from utilities/imports.py, removing its local definition.

This ensures a single source of truth for rich package availability and version checking.

Author: littlebullGit

src/lightning/pytorch/callbacks/progress/rich_progress.py

@@ -18,15 +18,13 @@
 from typing import Any, Optional, Union, cast
 
 import torch
-from lightning_utilities.core.imports import RequirementCache
 from typing_extensions import override
 
 import lightning.pytorch as pl
 from lightning.pytorch.callbacks.progress.progress_bar import ProgressBar
+from lightning.pytorch.utilities.imports import _RICH_AVAILABLE
 from lightning.pytorch.utilities.types import STEP_OUTPUT
 
-_RICH_AVAILABLE = RequirementCache("rich>=10.2.2")
-
 if _RICH_AVAILABLE:
     from rich import get_console, reconfigure
     from rich.console import Console, RenderableType

src/lightning/pytorch/utilities/imports.py

@@ -28,7 +28,8 @@
 
 _OMEGACONF_AVAILABLE = package_available("omegaconf")
 _TORCHVISION_AVAILABLE = RequirementCache("torchvision")
-_RICH_AVAILABLE = RequirementCache("rich")
+_RICH_MIN_VERSION = "10.2.2"
+_RICH_AVAILABLE = RequirementCache(f"rich>={_RICH_MIN_VERSION}")
 
 
 @functools.lru_cache(maxsize=128)