What are my chances? Princeton EA

Hi!! Thank you so much in advance!

Objective:
SAT: 1530 (770 English, 760 Math) - only took it once
SAT II: 750 Math II, 730 Chem, took bio but waiting for score (definitely above 700, most likely above 750)
Unweighted GPA: 3.98
Weighted GPA: 4.2
Rank: No rank
AP: European History (4), Psychology, Biology, Language and Composition, US History - No scores yet for last 4 but mix of 4’s and 5’s
Senior Year Course Load: AP Physics 1, AP Calculus BC, AP French, AP Economics (macro and micro), AP US Gov, 4th year of Engineering program (PLTW)

Subjective:
Extracurriculars: Blue Key Club, Engineering Club, Future Business Leaders of America, Model UN (secretary), French Honor society, Tri-Music Honor society, National Honor Society, Varsity Fencing, Varsity Badminton (All county player)
Honors: 7 awards for FBLA at the state and local level at 3rd place or higher over past 3 years, National Laureate for National French competition (Grand Concours) every year, Scholastic Art and Writing- Gold Key Research paper, Honorable Mention Journalism, All-County for badminton doubles
Volunteer/Community Service: Reading to children at the library (1hr/wk), Hospital volunteer (3hr/wk)
Summer Activities: Program exploring different STEM fields, Training to become a camp counselor and then counseling at a summer camp, Cooper Union STEM program working in my field of interest

Other:
State: NY
School Type: Public
Ethnicity: Black/Hispanic
Gender: Female
Income Bracket: <65,000

You have great extracurriculars, grades, standardized testing score, and hooks. I think you have a very good shot, granted Princeton is a reach for everyone.