Nested tables in DOCX are lost when converting to Markdown

[Wuhall]

Description:
When converting a DOCX file containing nested tables to Markdown using markitdown, the inner table content is discarded in the output. This occurs consistently with specific document structures.

Steps to Reproduce:

1. Environment:
   • Device: MacBook Pro with M3 chip

   • Installation:

   pip install -e 'packages/markitdown[all]'

2. Test File:
   • [Attach a minimal DOCX file with nested tables (e.g., outer table → inner table → text)].

3. Command:

   markitdown path-to-file.docx > document.md

4. Observed Result:
   • Outer table structure is preserved, but inner table content is missing in document.md.

5. Expected Result:
   • Both outer and inner tables should be rendered in Markdown (e.g., as nested HTML tables or flattened Markdown).

[Wuhall]

I've reviewed the conversion pipeline and identified an issue with nested table handling:

Current Behavior:

1. DOCX → HTML conversion works correctly (preserves nested tables)
2. HTML → Markdown conversion using markdownify fails to properly handle nested table structures

Problem:
• markdownify flattens nested tables into single-level Markdown tables

• This causes:

• Loss of table hierarchy

• Misaligned columns

• Broken formatting in complex documents

I have submitted a PR in the markdownify,If you encounter similar problems, you can add code here as follows
markdownify/init.py

def process_tag(self, node, parent_tags=None):
        # **Handle nested tables**
        if node.name == 'table' and 'table' in parent_tags:
            # If this table is nested within another table, return its HTML representation
            return str(node)