Dear Sahil,
Yes, of course, you have to inform the chief inspector of Shops & Establishments and provide the reason for running in shifts. The inspector will verify the genuine reason, and if the inspector finds a real need for three shifts, then they will approve it.
In the case of women employees, please keep in mind that you have to arrange necessary safety measures for them. Many MNCs work in shifts, and a chief inspector visits during different shifts to assess the working conditions. Therefore, you should have sufficient arrangements to run a factory smoothly in shifts.
Please remember that working hours should not exceed 8 hours per shift, including lunch, tea, and dinner breaks.
Best Regards,
Sajid Ansari