Copy Output to Clipboard does not include (hides?) search matches

[krassowski]

Description

In rich word processing editors the search matches are lost.

Reproduce

1. Execute a cell with:

   import pandas as pd
   pd.DataFrame({'a': [111, 222], 'b': [333, 444]})
   

2. Open search, type 444, enable "Search Cell Outputs"
3. Right click on cell output, click "Copy Output to Clipboard"
4. Paste in a rich word processing editor (e.g. LibreOffice)
5. See 444 is missing in pasted table

Expected behavior

Each cell should be visible.

Copy Output to Clipboard should filter out search highlights from the dome before storing it in clopboard, but preserve the text.

Context

• Operating System and version: Linux Ubuntu
• Browser and version: Chrome 118 and Firefox 117
• JupyterLab version: 4.0.x