Welcome to HBT and your homebrewing journey!
Kit recipe instructions can be a toss up, they want to keep it simple, but in that effort they often omit valuable information, or even steps. There's a bit more to it than 1-2-3 as you're discovering. And there are different methods, approaches.
As others said, it's a good idea to keep the beer in your fermenter at (low) room temps around 20-23C for the beer to condition out, while giving it time for most of the yeast to flocculate out, giving you clearer beer.
Which sadly are missing from this recipe...
With hoppy beers, such as IPAs, timing can be more sensitive, as they are typically infused with dry hops those few days before packaging (bottling or kegging). The manufacturer didn't supply dry hops, which they should have to call it an IPA, or change the kettle additions and leave some of those hops out to be used for dry hopping.
But maybe you can add them yourself. Or next time.
What is essential, is leaving the lid on your fermenter, there's no need to remove it until after packaging and you're ready to clean it. Keeping air away from your beer is important as the oxygen will slowly oxidize it.
Will you be using the spigot later to bottle the beer?