I am more worried about the laptop and 32 inch IPS screen, WiFi router and fibre setup rest it optional. In current situation 8 - 10 hrs backup is my target. On Friday it's mostly gone. Reset of the time in rainy season some what 6-7 hrs.
Is your discom MSEDCL? Even I have 8hrs power cuts on Fridays.
Laptop will work for ~4 hrs since it has a battery. You can run it on battery till it loses charge to 30% and then charge it on inverter.
Max load of laptop on inverter during charging will be 65-90W.
LED TV will take 50W load.
Fan 65W.
Router another 5-10Watts.
Light not counting since load shedding is during the day.
Total requirement = less than 200W. 220Ah battery is more than sufficient for 10 hours backup. You will probably get 10-13hrs backup before the ups starts beeping.