The only thing that will keep a bear away is HOT wire.
And sometimes that doesn't work.
A friend of mine lives just out of Kalispell, MT. She had 2 strands of hot wire up around her coop and chicken run. Pretty close to town in a neighborhood w/ varying lots - some literally less than 1/4 acre & houses "on top" of each other. Hers is about 1-1/2 acres I think, but beside & behind her is very large acreage that extends back to trees (not small & can barely see when standing on property line - the properties are all in hay & hayed by one person). Part of the acreage is owned by one person & she's been trying to purchase it, but hasn't managed yet...
Anyway, in 2021, she showed me damage to her coop from a bear... She only had 1 strand of hot wire then. It had "punched" through the largest wooden side of the coop & got one hen. When it was repaired, she installed 2 strands of hot wire.
The next day (after she showed me the damage), she's cleaning a rifle, looks at our other friends (a couple whom are like a step sister/brother to me & have taken my own adult daughter & SIL "under their wing" up in Shelby, MT) & states "It's opening day of bear season. You're all coming with me, right?" Not gonna lie, I was terrified!
We spent several hours touring around Hungry Horse Resevoir. Got out and searched around several areas. Personally, I was quite happy we didn't even see bear sign!! She, on the other hand, was sorely disappointed...
Last fall, she let me know that a bear (bigger ?, same bear?) had gotten through both hot wires & totally demolished her coop & run. Killed all of her chickens - think she had 8 hens. A couple were older, not regularly laying. A couple were new pullets just starting to lay...
Her coop was built by her & her son's family. It wasn't huge, but not small either. The hens were comfortable even when closed up during blizzards. The run was hardware cloth - think 1/2×1" (not squares). The coop was 3-4' off the ground - sandwiched between a slight larger greenhouse and her 3 car/shop/garage. Uprights were 4x4' true - locally milled - for both coop & run which extended under the coop & out - I think 20'. I guess that bear "rampaged" or ? Whole coop & run needed to be rebuilt... Not sure yet if it's done, she had some health issues pop up again. So did I & haven't talked to her in a while...
2nd bear story - a "small" black bear was seen on the banks of the Marias river - maybe a mile or so from daughter/SIL's house before they moved up in 2021. There was a bee keepers spot between the road we drove on (leased pasture from owner). They had 2 hotwire fences - one was a 3 or 4 strand livestock type fence & one was premier 1 netting - around all the hives. They were on separate solar chargers. I can't remember how many, but more than 10 hives. They aren't there any more. A bear got through the wire & helped themselves to fresh honey! The hives not destroyed, were moved to different location.
Daughter, Skye, & I are discussing how to build a solid coop/run for their 6 new hens. Both Grace & Gwen will be competing w/ their pullets at Marias Fair next month...
Back to OP - I'm amazed that your omelet run didn't have a lot more damage. I've seen more from loose, "feral" (domestic) dogs. I'm thinking you may want to go w/ a more conventional run - with posts in the ground, heavy duty HWC & maybe a strip of wood over the edges of that HWC. The repairs you've already made, look great, but will it prevent a bear from doing more damage - if it returns?
BTW, I love "simple" styled hoop coops made from CP. I don't know if that will hold up to a bear, either...