Filing Married Filing Seperately

My wife and I have always filed a joint return.  We are now retired and my current monthly Parent Plus loan payment is over $400 and the total outstanding balance is over $60K.  We are attempting to reduce the monthly payment and thought it might make sense to file separately.  In 2023 our combined taxable income was $82K with a tax of $9.4K.  If we filed separately my taxable income would be approx. $22K and my wife's would be aprox. $60K. Can you let me know if our combined tax due would be higher filing separately.  Thank you for any assistance you may provide.