Tereza Okava wrote:...birds of prey!!
First, sorry you're going thru this - Sounds like a PITA.

Second, reading thru some of the (Excellent..) replies - This, above, was my first thought: Get a couple of solar-charged 'Robo-Owls', ie:
https://www.amazon.com/dp/B0D5M7C1HZ - Which:
- Have motion-detection (and it Really works well - See 'backstory' below..)
- LED 'Retina-flash' eyes
- Dynamic head movement, and
- a Reeeealy annoying 'screech'..

They will Definitely freak a cat out (at least, initially..)
I'd bet that a couple of them, placed on each
'Reachable' corner of your (which is, indeed, Huge!) Carport, there, each positioned so their motion sensor will cover a wide 'field' of the roof (so All 'entry points' are covered) could be an effective 'scare the bejeezuz out of them / re-education program' tactic.

We had a similar 'nuisance creature' issue in our back fenced 'Dog run' (keeps them close to the House at night - Better as 'alarm systems' / Not getting eaten by Coyotes

with
Morning Doves constantly using their Water Bowls as.. well.. 'Bird Baths / Toilets' Sure - When the Dogs are awake / attentive, well.. 'Dove snacks' are on the menu..
..But when they're napping - those Doves sneak in like little CIA-operatives and would absolutely
Scuttle their water-bowls with bird-scootie - Not very refreshing for them (and, I was Certainly not going to 'electrify' their stainless water-bowls, Nor try and 'camp out' all bloody day to snipe them with a pellet gun, etc
So, Tried perching one of these 'Robo-Owls' up on a post, far corner of thier penned-area, and Voila - Birds come into 'sip' - and are promptly screeched out of the area (and, Overall, have noticed a 'Drop in drop-ins' - so, it
Seems to be spooking them from afar, as purported.) 'Your Mileage May Vary' and all, but perhaps worth a shot? Certainly not "hundreds of dollars" / a Lot of effort to try.
Also, we used 3M's double-sided 'Outdoor Mounting Tape', ie:
..onto the base / post-top Block for it, and that has Held thru heat / rain, etc very well.
Aside from this, indeed, not being Able to 'get Up on it' limits Other viable options (ie: stretching / mounting 'surplus camo netting' across it all.. or, 'blanket' with spray-mount glued thumb-tacks, every square-inches' intersect..

quite a bit..
..But, this 'Robo-Owl' idea only requires access to one / two Corners (or, maybe right
Close to their 'poop-zone') sufficient enough to get good 'detector coverage' / Sunshine - and see what happens. Just an idea.