The planned specs you have put up are beyond overkill for the games you seem to be interested in playing. If you are big on productivity (rendering, editing, workstation stuff) and less interested in games, I'd actually suggest you go the AMD Threadripper way. But if you want to stick with Intel and have no problem doling out cash, then you can't go wrong with i9-9900K. I'd suggest you pick up a high-end Z390 motherboard for it though, like MSI's MEG GODLIKE or Asus MAXIMUS XI.
For this processor I would suggest a strong 240mm liquid cooler like NZXT Kraken X62 (or the 360mm X72 if you want better cooling).
32GB DDR4 should be more than enough, but again if you feel like spending, nothing wrong in taking 64GB, again you'll see
some results in productivity-related workloads, for gaming, even 16GB is enough. Take 32 if you don't even want to open it ever in next 3 years. As of RAM speed & timings, again you'll only see results in productivity, there will be little to no change in gaming regardless of you taking 2400mhz or 4133mhz. For the money you seem ready to spend, something around 3200mhz might be a fair sweet spot.
There isn't any worthwhile change in heat between HDDs and SSDs. The difference is in read & write speeds. For your boot drive I would suggest going for an M.2 NVMe SSD like Samsung 970 Pro. Go with 240GB as minimum amount of storage, how high you go above that (or if you would like to put a relatively small (~240gb) M.2 SSD as the boot drive and a bigger 1TB SATA SSD for storage of files) is purely dependent on how much you're willing to spend. In terms of speed, M.2 NVMe are king, followed by SATA SSDs, followed by SATA HDDs (slowest).
Any 2080Ti will do, although I'd suggest steering clear of the Founders Edition (there have been issues with earlier batch FE cards dying lately). The MSI Gaming X Trio or the Gigabyte AORUS Extreme are some great higher-end 2080Tis out there.
As for the case, any higher-end Coolermaster, Fractal Design or Corsair case would be great. Look up CM's H500P/M (with front mesh), Cosmos C700P or Fractal Design Define R6.
A 55" Mi? You mean you'll be using a smart TV? What's the resolution? I suppose its a 4K TV? I'm still to get an idea of what kind of work you'll be doing, because if you're into photo/video editing, then smaller 27" monitors (monitors, not TVs) with high-end color accuracy would be the sweet spot. But anyway, to each his own and if you prefer working on the much larger screen, go ahead.
For gaming, best to buy a 27" or thereabouts 4K monitor with response times under 5ms. But if you're not into heavy online competitive games, then the utility of a superfast response time gaming monitor is lost, I'd actually suggest you to see if you like gaming on the Mi 55" screen itself. For offline/casual games, a smart TV is just fine.
I think you can connect 4 displays to a card like MSI 2080Ti Gaming X Trio. Although if you're planning on playing 4K games on one monitor and encoding 4K video on another at the same time, well....
I wouldn't suggest a laptop for any of this unless you value mobility above everything else. A desktop is infinitely better with respect to performance, cooling, upgradability & maintainability.
Price? Expect to splurge out around 3-4 lacs. It's gonna take a long time to calculate the prices for all the parts (as I'll have to compare from multiple sources like Amazon, Prime ABGB and MD Computers, not to mention your local vendors which often have the best prices) but with a build like this with i9-9900Ks and 2080Tis being talked about, you'd have to expect to keep your purse strings loose.
Something to get you started:
System Builder - PCPartPicker India Choose your parts and see where you get.
EDIT:
P.S. I would suggest you make sure that whatever smart TV you plan to buy supports 4K at 60hz minimum. and if it has HDMI 2.0 connectors or DisplayPort 1.2 connectors. If the TV does not have DisplayPort or has only HDMI 1.4 connectors, then you will not be able to drive 4K at 60hz because you might need 2 x HDMI cables for it and most 2080Tis have only a single HDMI connector.