On my last post I had started off about the FOB battery, then re-read your post about not changing FOBs since buying the car this year, and felt the battery should still be good. Then just now I remembered you have a 2020.
The battery in my main FOB died after only a few years of use, so it's likely yours could be dead - probably is since you said your wife mentioned the "key light" came on a few times.

What I was going to mention earlier when I responded incorrectly to your post (having first thought you'd last changed the FOB battery in Jan/2025) was that it's been addressed that the battery can be improperly seated and not have a prong contact the battery when snapping the two halves of the FOB together. So if you did change or do change the FOB battery, be sure to carefully snap it back together so a prong doesn't get bent or squished out of place.
It's also been mentioned that even new batteries can provide incorrect voltage that would prevent the FOB from working and being identified. However, manually pressing the FOB end to the ignition button should have made the car start, which is why I was leaning more towards the actual car battery being the problem. That, and that the other FOB also wouldn't work seems a bit unlikely.
If you can let the car battery charge a bit before trying to jump start it, that would help. I know from experience that even with my 2003 it didn't want to start easily when the battery was nearly drained, even when being jumped.
I would also try that trick about using the physical key (the pulls out of the FOB using the release button on the back) to lock and unlock the driver's front door, then press the start button without pressing the brake pedal and let it sit for 30 seconds before then trying to start the engine. My guess is that it does something to satisfy any immobilizer sensor issue and allows time for things to reset once the ignition system is powered on. The trick doesn't say which position the start button needs to be in (one press or two) but I'd go with two.
In case you need it, here's my post about accessing the key and opening the FOB.
And as a last idea... months ago I recall seeing an episode of "Just Rolled In" on Youtube where the problem was that the car wouldn't start regularly. I believe the issue was some bulky, decorative thing (or a magnetic decorative ring) that was placed around the start button that disrupted the key chip's ability to be recognized consistently. Is there any "bling" near the start button in your car (or attached to the FOB's keychain/ring) that might be causng interference?
