私が正しいと

that I am right

→ 私
phrase Rare #45,751
that I am right と marks the preceding statement as something understood, believed, or communicated.
JA: 彼女は私が正しいと知っています。
EN: She knows that I am right.

休校になる家にいれば私が正しいと分かる

If school is closed and you stay home, you'll realize I'm right.

— 嵐の中で (2018)

彼に私が正しいと納得させるには長くかかった。

It took a long time to convince him that I was right.

私が正しいとわかるでしょう。

You'll see that I'm right.