Fix custom logger conflicts with CrewAI verbose logging

- Modified ConsoleFormatter.print() to pause Live sessions when printing non-Tree content
- Added _paused_tree attribute to store tree state during pauses
- Updated pause_live_updates() and resume_live_updates() methods to properly restore Live sessions
- Added comprehensive tests covering the logging conflict scenario
- Fixes issue #3197 where custom Python loggers were suppressed when verbose=True

The fix ensures custom loggers work properly while preserving CrewAI's live formatting functionality.

Co-Authored-By: Jo\u00E3o <joao@crewai.com>

test_simple_logging_fix.py

@@ -0,0 +1,71 @@
+"""
+Simple test to verify the logging fix works without external API calls
+"""
+import logging
+import io
+import sys
+from contextlib import redirect_stdout, redirect_stderr
+from crewai.utilities.events.utils.console_formatter import ConsoleFormatter
+from rich.tree import Tree
+
+
+def test_console_formatter_logging_fix():
+    """Test that ConsoleFormatter allows custom logging when Live session is active"""
+    print("Testing ConsoleFormatter logging fix...")
+    
+    logger = logging.getLogger("test_logger")
+    logger.setLevel(logging.INFO)
+    
+    log_buffer = io.StringIO()
+    handler = logging.StreamHandler(log_buffer)
+    formatter = logging.Formatter('CUSTOM_LOG: %(message)s')
+    handler.setFormatter(formatter)
+    logger.addHandler(handler)
+    
+    console_formatter = ConsoleFormatter(verbose=True)
+    
+    tree = Tree("Test Tree")
+    console_formatter.print(tree)
+    
+    assert console_formatter._live is not None, "Live session should be active"
+    
+    logger.info("This should appear in the log buffer")
+    
+    log_output = log_buffer.getvalue()
+    assert "CUSTOM_LOG: This should appear in the log buffer" in log_output, f"Custom log not found in output: {log_output}"
+    
+    assert console_formatter._live is not None, "Live session should still be active after custom logging"
+    
+    print("✅ ConsoleFormatter logging fix test passed!")
+    
+    logger.removeHandler(handler)
+    handler.close()
+
+
+def test_console_formatter_print_behavior():
+    """Test that non-Tree content properly pauses/resumes Live sessions"""
+    print("Testing ConsoleFormatter print behavior...")
+    
+    console_formatter = ConsoleFormatter(verbose=True)
+    
+    tree = Tree("Test Tree")
+    console_formatter.print(tree)
+    
+    assert console_formatter._live is not None, "Live session should be active"
+    
+    stdout_buffer = io.StringIO()
+    with redirect_stdout(stdout_buffer):
+        console_formatter.print("Non-tree content")
+    
+    output = stdout_buffer.getvalue()
+    assert "Non-tree content" in output, f"Non-tree content not found in output: {output}"
+    
+    assert console_formatter._live is not None, "Live session should be restored after printing non-Tree content"
+    
+    print("✅ ConsoleFormatter print behavior test passed!")
+
+
+if __name__ == "__main__":
+    test_console_formatter_logging_fix()
+    test_console_formatter_print_behavior()
+    print("🎉 All simple logging fix tests passed!")