Hello Palpoo,
Further to what Dinesh V Divekar & Ramakant mentioned, there's ONE aspect that begs clarity/clarification from you.
When you have already made-up your mind to resign after 3 months, why are you eager to adopt work-from-home for these 3 months? Was it YOUR or the Company's idea? Why don't you just quit & move?
OR if serving the Notice Period in India is the issue, I think Dinesh V Divekar has already given the solution to it--serve the NP by work-from-home mode.
There's a Quote that deserves bearing in mind: "A lie always needs an accomplice; ONLY Truth can stand alone".
This emanates from your plan to feign health issues to resign later. You already are able to see one consequence--how to return the Laptop. Are you sure there won't be others when you reach that stage? I am sure there will be--and you will end-up inventing more such bluffs [IF the word 'lie' is too strong for you].
Hope you get the point.
IF, for whatever reason(s) doing the job for these 3 months is important for YOU [NOT for the NP reasons], just be upfront & discuss with your HR & handle with transparency.
It always pays to preempt a situation rather than creating it & then going about resolving it [that's a politician's domain...NOT a professional's]. :-)
All the Best.
Rgds,
TS