Dang, yours is confusing. You may need to call your DMV and ask...which is likely to be an even more excruciating call than KMF...lol.
Your state is either BS, or your dealer may have messed up on paperwork.
If your agreed price was 49763 and you put down 2300 something is off. Most of the math lines up, but there seems to be a miss.
It should have been something like this...roughly...I'm on a phone so excuse the crude layout.
49763 agreed purchase price
-6500 lease cash
+1688 tax
+650 acquisition
+150 dealer crap
+16 license
= 45767 (buyout price/capitalized)
-27825 residual value
=17942 (amount you owe over 36 mos)
+6782 rent charge (paid over 36 mos)
=24874...and here comes the miss maybe, but it only matters for the monthly pmt
-1688 (part of the 2300 you paid up front, but I dont see it was subtracted out.)
=23036/36 = 639.88 (what your payment should have been)
The 1st pmt is moot in the above math. It just means your buyout was 498 less right away. It looks like you paid tax up front and you're paying it again within your monthly payment. With that said, the 45767 buyout is correct though. Think of it this way. The money you put down, beyond first payment, goes against the difference of (capitalized minus residual plus rent), so tax is the same as the acquisition fee really. It's all just going in the bucket of what you owe, and all it does is reduce your monthly lease pmt. Hopefully you can avoid paying tax on the 45767, but it is the correct initial buyout cost. If you can go through Indiana you should only have to pay tax on the residual of 27825.
If you do keep the lease it looks like you may need to buckle in for an argument to get your payments reduced UNLESS you're actually gaining more than 498 each month vs. the buyout, but that would be odd.
Good luck!
Zac, thank you for the assist. This stuff is highly confusing and I truly appreciate someone checking my sanity.
I think we're on the same page. Either I shouldn't have paid the tax out of pocket up front or the tax shouldn't be included in the calculation you used for the buyout price / capitalized cost (as it was already paid). If I remove the tax from the capitalized cost itemization I end up with the same number as you for the monthly payment in my spreadsheet. Either way, I owed $1700 in taxes whether it was paid during the buyout or up front. Do we still agree?

I'm still waiting from the paperwork from KMF with a detailed breakdown. Once that's done I'll see what I can do about the Ohio sales tax situation (My sales tax should be ~$50500 * 0.08 - ~$1700).
Thank you again!