Looking back at the original post, the existing hole is 0.228" where we would expect 0.201"-0.206". The larger hole corresponds to the size required for a thread forming operation (see
https://guhring.com/media/support/Tapping-Drill-Size-For-Thread-Forming.pdf page 131). You don't need to buy a thread forming tap for this: the supplied bolts are probably hard enough to be reused once or twice. Put some lubricating oil on the bolt (NOT cutting oil), hold it as coaxial to the hole as you can, and force it in. I'd expect better results driving the bolt with a drill or impact driver.
Tapping that hole with a cut tap will give you a very weak thread.
In general, taps and dies that are purchased in a set are the worst possible quality. Individual taps purchased from a big-box "hardware" store fit in the same category. They may or may not be high speed steel (AISI M2/M42), might be a high carbon steel, might be somewhat shiny cheese for all you know. They are mostly so-called "hand" taps, with the end of the flutes ground square. If they are coated, it's for marketing appeal, and not utility.
Strictly speaking, for casual use, the material of which the tap is made doesn't matter as much. You can't turn the tap by hand fast enough to get it hot. High speed steel (M2/M42) and the fancier alloys are necessary when power tapping, but often coincide with a better quality tap.
"Hand" or straight flute taps must be reversed every turn or so when tapping a new hole to break the chip as it's cut. The flutes are ground so that the chip curls up and will block the flute if it isn't cleared. I never use these taps.
Spiral point taps have a gash ground at the end of each flute that pushes the chip further down the hole as the tap is turned. You cannot drive this type of tap all the way to the bottom of a blind hole. Depending on hole depth, it is not necessary to reverse these taps when driving them. I would not hesitate to drive a spiral point tap to 2 diameters deep before retracting it. Further, I recommend completely withdrawing the tap from the hole rather than backing off half a turn and continuing: this gives you a chance to clean the swarf off the flutes and out of the hole, and to apply more cutting oil.
Spiral flute taps have helical flutes, like those of a twist drill. This type of tap can be driven all the way down a blind hole, provided that there is still cutting oil for the tap to work in, and provided that there is no trash at the bottom of the hole for the tap to hit. These taps are often weaker than spiral point or hand taps, and will more readily break if they are not started coaxial to the hole. Their main advantage is that they will pull the chips backward out of the hole as the tap is driven. Unless you have a real milling machine or at least a drill press, I don't recommend these for casual use.
It is critical that the tap is guided coaxial to the hole. Taps with 3 or 4 flutes will go in the direction they are started, but a 2 flute tap can be rocked around to a limited degree after it has begun to cut. If you don't get the tap started exactly straight, you can take advantage of this to fix it before you get too deep. Larger taps can be aligned by eye if you are willing to accept some inevitable misalignment. Small taps will probably snap inside the hole if you try this. It is best to drill the hole in a machine tool or drill press, and have the same machine tap it. Given an existing hole in a part made by someone else, if I were unable to set up the part in a mill, I'd hold the tap visually straight, and send it.
use a proper tap wrench to drive the tap. Power drills allow you no feel of the cut. The tap wrench balances the force applied with each hand, transmitting torque to the tap and reducing radial force which tends to break the tap. Never use an adjustable wrench for tapping: you're pushing sideways on a fragile cutting tool and it will almost certainly snap for you.
In my opinion, coatings are useless in casual use. Tools are coated to allow better wear resistance at higher surface speed. When driven by hand, you can't turn the tap fast enough to justify any coating. Bostonman, your yellow taps are probably coated with titanium nitride (TiN), one of the earliest, and today one of the least useful tool coatings. It doesn't offer any significant benefit over uncoated tools. It's chiefly used on consumer grade drills and such because it's cheap and makes the tool look pretty. If you're tapping aluminum, the vast majority of coatings will never help. Aluminum is surprisingly abrasive and will wear the coating right off the tool.
Cutting oil is important. Don't use motor oil, hydraulic oil, transmission fluid, or any other kind of lubrication oil. Pipe threading oil from any half-decent hardware store will work. If for some reason you can't get any industrial metalworking fluids, bacon fat will work. Don't be parsimonious with the oil: it's cheaper than breaking the tap.