For this, you want a Next Page / Odd Page / Even Page Section Break before Page 3.
Each section has three headers and three footers. There is a first-page header/footer, an odd-page header/footer, and an even-page header-footer. There is no third-page header footer.
Here is my
Header/Footer Settings Recap.
You could use a field instead to test for the page number, but that seems like doing it the hard way.
See also
Numbering Front Matter by Suzanne Barnhill, MVP.