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It does matter whether you are talking about the DNA level or amino acids. There are often multiple possible changes in the DNA codon that can give the same amino acid. It’s the DNA that matters for this argument.
The main point is that your position isn’t determined by the evidence. It’s determined by your pre-committment to special creation of species. If that’s what you think you need to believe, fine, but you should admit to yourself that a literal interpretation of the Biblical account is the reason for your belief, not the evidence, because the evidence won’t lead to the conclusion that you want.
There aren’t just a few shared mutations between species like humans, chimps and gorillas. There are millions of them, and that’s counting only the complex mutations like sizable insertions and deletions. And its not just in pseudogenes. There are shared complex mutations all over the place, sometimes even in coding regions. Of course each species also has some species-specific mutations that have occurred since they diverged. For transposon insertions there are a few thousand that are specific to each species, but millions that are shared, which indicates a very long shared history before they diverged. And occasionally you will see simple point mutations that did occur twice independently, say in human and gorilla but not chimp, but they are a very low percentage of the total.
If you are really interested, it’s not that hard to use the genome browser web sites. Get the human sequence, pick a segment at random and look at the corresponding chimp and gorilla sequences in the same region. For simplicity, it should be a region that isn’t part of a large segmental duplication. If you want to see a sample of that kind of thing, look at the figure at The Art of the Soluble: Transposable Elements and Common Descent of Humans and other Primates