Hey Ludovic! Thanks for reaching out. Happy to help. You can do this by re-running the "company table data" column in the people search table. For context, the people search table syncs with the company table with the "company data" column.
If any changes are made in the company table, you just need to ensure you extract the data into a separate column and re-run the "company data" column to pull that field.
Let me know if this helps!