The 5.13 kernel is indeed long EOL, and thus unavailable, as well as the driver headers for it. Your issue is similar to many before you that got their drivers removed by updating while keeping that kernel.
You should chroot and:
remove the kernel 5.13
install the kernel 5.10 LTS, 5.15 LTS and/or newer supported
install the drivers
sudo mhwd-kernel -r linux513
sudo mhwd-kernel -i linux515
sudo mhwd -a pci nonfree 0300
epic511:
While reinstalling 515/510 I got the following messages
WARNING: Possible missing firmware for module: bfa
WARNING: Possible missing firmware for module: qla2xxx
WARNING: Possible missing firmware for module: qed
WARNING: Possible missing firmware for module: qla1200
2022-02-05
New warnings when building the fallback initcpio - Possibly missing firmware for module: bfa, qed, qla1280, qla2xxx
That’s due to the recent changes to the linux-firmware package. Note these are warnings, not errors. You only need those firmwares if you have Mellanox Spectrum switches, Marvell devices, Qualcomm SoCs, Cavium LiquidIO server adapters, QLogic devices and Broadcom NetXtreme II 10Gb ethernet adapters. if you have that hardware you can install linux-firmware-qlogic to get rid of those warnings. If you do not have that hardware you can safely ignore those warnings.
pamac install linux-firmware-qlogic