Actually, you are “adding” by claiming that Matthew necessarily implies Mary Magdalene and the other Mary “went together.” It doesn’t say that.
Matthew’s account is consistent with them both going to the tomb, but separately. There is no reason to force a particular perspective. And the account from John, implies they went separately. Also implied by the other Gospels is that other women (Joanna, Salome and Mary, the mother of James) were there at some point in time. Matthew doesn’t specify when precisely. He is more concerned about the big picture.
There is actually nothing in my melded account that conflicts with any of the four Gospel accounts. I have “added” nothing since I only used snippets of text from the actual Gospels and aligned them in a way that they fit together while not contradicting any of the individual accounts. There are no words in my version which did not come from one or other of the four Gospels. I did add bracketed text to specify who was possibly meant by ”the women” in one instance and there may have been one other time. But even those came from the Gospels directly.
You should be more concerned about “adding to Scripture” since you add your presumptions in order to call Scripture false or contradictory. I’ll let God decide which of us is doing the greater disservice.
You are assuming the writers had to include every detail in each account and that is why they seem to conflict. I see no need to assume that. Each account gives a version, possibly from different sources or from some of the same sources to provide an account - each with missing details. My melded version attempts to fill in the gaps in some accounts from details in the others.
You are being disingenuous when you claim A means not-A in the text. Your difficulty comes from imposing your view of A on the passage, when it doesn’t specifically have to be A.
My concern is getting at the actual event through the details provided in the four accounts. Those accounts don’t claim to give the full story, so provided none of the accounts are falsified or contradicted, the actual story behind the accounts can be pieced together.
Your concern seems to be simply to discredit the accounts by holding each to a standard that you impose on it In order to find issues with the event itself.