6.11.11 marks the end of life of 6.11. Future fixes are likely to take place only in 6.12.
As far as I have seen, the tests of 6.12 have been positive since 6.12.3, it was just waited for the bpftool maintainer since then (don’t know what this was about), and it seems this has happened already:
6.12.4 is now in bodhi’s testing and the bodhi tests are so far mostly positive as well (the one with negative karma refers to two bugs of around 2006, so I am not sure if I take that report serious).
So you might try to test 6.12.4 the way it was pushed to bodhi-testing and see if your issue is still present with that one (or stick with 6.10.10 until 6.12.X has been pushed to stable if you prefer that). If this is a kernel issue, we can say more or less for sure that it will be only processed if it still occurs on 6.12:
https://bodhi.fedoraproject.org/updates/FEDORA-2024-9fb3492511
If it still occurs on 6.12, you might increase the amount of kernels that remain installed in advance to further updates, in order to ensure that you still keep 6.11.10 installed (default is 3 kernels).