Applying for naturalization does not extend the green card.
Your wife must apply to renew her green card before it expire if she has not finished the naturalization process.
https://www.uscis.gov/citizenship/learn-about-citizenship/commonly-asked-questions-about-the-naturalization-process#:~:text=A lawful permanent resident is,her possession at all times.&text=For this reason%2C you must,you have applied for naturalization.
What should I do if I have already applied for naturalization and my Permanent Resident Card, also known as “Green Card,” is expiring?
A lawful permanent resident is required to have valid, unexpired proof of lawful permanent residence in his or her possession at all times. Applying for naturalization does not change this requirement. For this reason, you must generally apply to renew your expiring Green Card even if you have applied for naturalization. For more information on renewing your Green Card, visit uscis.gov/green-card/after-we-grant-your-green-card/replace-your-green-card or uscis.gov/i-90.
Thanks guys. I appreciate your help. That’s what I thought. The only reason I doubted it was because I took it to a translator and they said something different was needed. But I should trust the government website and not that person. Thanks again.