How to create a Giveaway

Yes, you can do exactly that, but consider regional price differences as you might not be able to give a gift to the winner if you're from a lower priced region. Selecting "Gift" when creating the giveaway allows you to create it without any key, and you can do it to give a gift, send the key in an email, or just put the key later.

Short answer: Yes

Longer answer: Steam disabled keeping gifts in your inventory some time ago, so only way how to get steam gifts in your inventory is either by activating a steam key, which gives you a copy in your inventory or by buying 2-packs or 4-packs, which some games offers.

Edit: And also, as RiderOfPhoenix wrote, there is also the problem with regional pricing...

Best answer: Don't do it.

A nicer way of making Mayanaise's point... who I fully agree with on everything but the April Fools Joke accusation. ;)
The game you are offering has no gifting (cv) or purchase value. It's one of those mass free games that rolled around a couple years ago.
The only "value" of making a ga for that game, is to learn from the experience of jumping through the SG and Steam hoops to "gift" a game with one of the most complicated, if not THE MOST complicated method available. lol

Basically not worth the effort, specially for a 1st SG ga.

Its great that you want to make a GA and are getting on board with SG. Awesome.
But as a first game, that has no retail or cv value that basically only "collectors" or Indie lovers would want... you have to decide if it is worth it "to you".

Buying bundles and giving away the games you don't want is the cheapest way to buy games to giveaway.
However, these games will give you the lowest cv values, if you are concerned with SG cv yet.
I personally like to gift more than level. I enjoy gifting more than leveling on SG, so after 6 years of membership, I finally broke level 6... until the cv values adjusted and now I'm down to lvl 5.96 again. lol
It is what it is.

Welcome to a new kind of 'idle clicker game' called "Steam Game Gifting". ;)

Hope all this helps.

P.S. Your written English is 'good', MUCH MUCH better than 1/3 the English speakers/writers out there. Doing good. :)

Anyone who ever criticizes you for your "English", you need to up your game with.
Deliberately get WORSE with your English and start practicing your cuss words immediately with them, just to piss off the little complainers.
Ask them if you are pronouncing those words correctly and with the correct context, because you care. :D Keep asking them, LOUDLY, until the leave. lol

Constructive criticism is one thing, complaining at your for their own benefit or uninvited, is unacceptable behavior.
Push that button of theirs, with prejudice. Lay it on thick. ;) .02
This is called Passive Aggression and can be quiet enjoyable when used with without anger and with focus. lol

There is another complication when gifting during a sale, that I don't think has been mentioned. Since the winner has up to 7 days to claim the win and redeem it, there is a good chance that will happen after the sale has ended. Even more so if you have to re-roll another winner. So you end up paying full price.

There is another caveat. Even if you do succeed at doing this, if you repeatedly add new friends and gift to them, Steam algorithm will declare you as a trader and block gifting from your account. Of course you won't find this out until you actually try to gift the winner.

Basically, gifting directly from Steam is way too much hassle, even for the hardened SGers. Just buy a key.

In the end I found some keys from an old bundle I didn't redeem! I tested one of them to be certain they haven't expired, and it worked!
So thanks everyone for your help, I'll leave the links below if you're interestend in the giveaways!
Have a nice day!

https://www.steamgifts.com/giveaway/TKrmQ/cook-serve-delicious
https://www.steamgifts.com/giveaway/Adwbe/solstice
https://www.steamgifts.com/giveaway/fT3JR/uncanny-valley