Is it work haggling for a new 2026 Corolla Hatchback Ascent Sport?

I recently went into look at some of the new Toyota's as my one from 99' is finally starting to feels it's age, and fell in love with the new hybrid Corolla Hatchback.

I've never had a new car always just the two older Corolla's we got a quote from a lovely sales woman for $32,100 base model but I'm wondering if I should try and haggle for less. I'm not very experienced in haggling and market wise it's already under what they say most people are quoted.

Any advice is welcome and if you have a lower quote price please let me know.

I plan on putting down 10k cash and financing the rest through finance.