One of my 1099 Div forms is not accurate in reporting foreign dividend income and I want to know if I should file Form 1116 based on the correct amounts or accept the inaccurate
1099 Div as reported to the IRS?

Are you sure it's incorrect? If so, then the broker or company that issued it to you should be willing to send you a corrected 1099-DIV. If you do decide to use figures that differ from the 1099-DIV it will be noticed by the IRS, so you should attach an explanation.