There’s still the hidden premise that @MPat pointed out, that God would have eliminated unnecessary suffering.
It’s not hidden. It’s your premise no. 4. So your conclusion would therefore be correct.
Is it? Let’s look at that “premise no. 4”:
Premise (4): An all-powerful being would be able to eliminate evil.
Nope. Mere “would be able to” (or “is able to”) is not yet “actually would” (or “actually is”, or “actually would have”).
You need another premise to get to that point.
To illustrate, let’s take a fictional example. For starters, a clip from “My Little Pony: Friendship is Magic”, episode “The Cutie Mark Chronicles”:
In the first of them we see one character (Fluttershy) being bullied, then being defended by another character etc. Presumably, you’ll agree that bullying counts as evil. So, let’s see the “Problem of Evil” on a lesser scale. Is it true that the creators of the show “would be aware of the existence of evil”? Well, yes. Is it true that the creators of the show “would be able to eliminate evil”? Well, yes. They could change the story. Is it true that they “would desire to eliminate evil”? Well, yes, in about the same sense. That is, as far, as we know, they do not want evil to happen to their characters.
So, given all that, how comes that evil actually happened? Maybe the show had no creators and just fell from the sky?
If it is not reasonable to become an “awriterist”, there has to be some part where the argument broke down. And it is easy to see: the writers did not desire evil as such, but they desired a story which was impossible without that evil.
It is similar with God.
The difference is that we do not see the whole story. And thus it is harder to see the explanation.
Yet we see it can exist, that its existence is not logically self-contradicting, and we trust it exists.
And, since solution has not been shown to be logically self-contradicting, the argument fails.
In fact, you also know it fails (although it might be that you do not know that you know).
For you are not using spelling mistakes in forum posts as examples of evil that are supposed to disprove God, although if the argument would work, they would be as sufficient, as any other evil.
No, you are using suffering of animals.
And you know that you haven’t shown that the proposed solutions are not logically self-contradicting. You only instinctively feel they are nonsensical, without being able to explain, why (“Philosophy” subforum might be able to help you with that, but you do not seem to be interested).
That’s the difference. We trust God (and logic). You trust your ability to instinctively recognise nonsense.
And I’m pretty sure that ability of yours is pretty untrustworthy, and you might even admit that under right conditions…