Curious :: With the 11th Gen Intel there was no 03.02 BIOS the early one was 3.06 from what I can remember back in 2021. The current BIOS is 3.20, did you mean that ?
I dual boot Win 11 and Ubuntu 24.04 (6.8.0-45-generic) and often I have to restart Ubuntu as there is no Wi-Fi but it usually kicks in on the second boot. I thought it was just the dual boot as I tend to hibernate Windows when using Ubuntu.
3.02 shipped on the earliest 11th gen laptops, it was never released as a BIOS update. It may be worthwhile to update the BIOS to the latest version to see if that helps.
Try reinstalling the Wi-Fi driver or running sudo apt update && sudo apt upgrade to see if that fixes it. Also, check if the linux-firmware package is installed correctly.
I recommend that you read the support doc and the forum discussion on the 11th gen bios updates before attempting the upgrade. I think there are some restrictions on skipping some of the intermediate versions.