Complex tables with page breaks produce hallucitating results

### Bug
The extracted table contains misplaced column names and corrupt data parsing pipeline.

### Steps to reproduce
Source Image screenshot: (data obfuscated to not contain PHI)

### Docling version
2.65.0

### Python version
3.14

Pipeline Options used:

pipeline_options.do_table_structure = True
pipeline_options.table_structure_options.do_cell_matching = True
pipeline_options.table_structure_options.mode = TableFormerMode("accurate")
pipeline_options.do_ocr = False // document has embedded text

Example of the markdown output using vlm:

[file.md](https://github.com/user-attachments/files/24180216/file.md)

Example of the markdown output using dl_parse_v4:

[file2.md](https://github.com/user-attachments/files/24180276/file2.md)

Screenshot from rendered markdown:

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