Where to start? This is a complicated one. Let's start with - You are in the US and you want the services of Discovery+ GB. Did you initially sign up with Discovery+ GB and are paying the following?

I have Discovery+ in the US and using a VPN it would not let me anywhere near the shows you were downloading unless I re-registered and paid the fee to them. I'm not even sure if that's a violation of their Terms of Service.
I see from the log that you had a great deal of problems just trying to get a download started, even if you paid the fee. Your VPN is not hiding you. They know you are in the US mainly, I think, because your VPN is not changing your time to GB time. It knows you are in the EST timezone. After many attempts, you were finally able to download a car racing show. I did not see any basketball game in your log. As you pointed out, it was out-of-sync. Why, I don't know.
2024:01:06-10:19:19 0x00003710 [Info]: [CefMedia] detail, 0 q=0.0 size= 772864kB time=00:13:23.66 bitrate=7878.0kbits/s speed= 803x \rframe=60611 fps=40395 q=-1.0 q=0.0 size= 1159936kB time=00:20:12.18 bitrate=7838.9kbits/s speed= 808x \r[mp4 @ 000001ae88067c00] Starting second pass: moving the moov atom to the beginning of the file\r frame=76480 fps=27289 q=-1.0 Lq=-0.0 size= 1496315kB time=00:27:31.17 bitrate=7423.7kbits/s speed= 589x \r video:1469439kB audio:25800kB subtitle:0kB other streams:0kB global headers:0kB muxing overhead: 0.071905%\r
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There could be any number of things causing this. DRM is not one of them. You would get nothing if they changed the DRM. I did note that in the log it appeared that at one point it tried to switch over to the M3U8 module and failed. I could be wrong, but that was the impression I got from the log. If so, you haven't purchased StreamFab's M3U8 module, so if that were the case, it would fail. Like I said, this one was complicated.
So, if you could, let me know if you purchased the GB Discovery+ subscription above. Also, I'm a little uncertain whether you are trying to download a Live show or whether it is VOD. Based on that, we'll see about referring this to the Developer.