UPS Battery Backup for Mac Mini suggestions

would like some suggestions on a good UPS Battery Backup.

all i need it for is to run my Mac Mini & LG Display when the power goes out or blinks at my home.

my current Mac Mini model:
     2018 Intel 3.6GHz processor
     8 GB memory / 1 TB storage
     Model A1993

and the LG display:
    2020 model 32UN650-W

i hope to upgrade the Mac Mini to one of the more current “M” models within the year.

if i’ve calculated correctly, i think all i need the UPS to cover is ~450 watts (for the Mac & LG).

my non-negotiable UPS features:
     – Pure Sine Wave (sinewave)
     – AVR (Automatic Voltage Regulation)
     – USB to connect to the Mac for automatic safe shutdown before the power runs out.

i’d like it to be as small as possible, and my budget is around ~$200 (or less).

i am open to other manufacturers/products, but up to this point, i’ve narrowed the selection down to these 3 companies:
     – APC
     – CyberPower
     – Goldenmate

i sent messages to all three and Goldenmate were the only ones to respond; but the model they advised me to buy, did not have the USB to computer port/feature, so i returned it.

from what i can tell, all the APC models that have all 3 of my needed features are just too expensive.

so that leaves me with CyberPower. after comparing their models, i THINK this would be the closest match…
     – model CP1000PFCLCD
     – $200 @ https://www.cyberpowersystems.com/product/ups/pfc-sinewave/cp1000pfclcd
     – $180 @ https://www.amazon.com/dp/B00429N192

my only hesitancy with this one is they don’t really state “Pure” SineWave, just “Sine Wave” or “PFC Sinewave” – is that the same thing?

unfortunately, it’s just so huge! all of them are. i had really hoped to find one that wasn’t so big.

thank you for your input, but please refrain from posting if your suggestion does not fit my needs 🙂

side question: does the macOS handle the automatic shutdowns before UPS runs out of power by default -or- would i need to install an app to handle that task? i’ve read conflicting information on that. i would prefer to NOT install a 3rd-party app if i don’t have to. also, the apps that these UPS makers have are not Apple-verified/signed.