wifi: iwlwifi: pcie move common probe logic

Move the parts of the probe that are not gen specific to the common
probe function.

Signed-off-by: Miri Korenblit <miriam.rachel.korenblit@intel.com>
Link: https://patch.msgid.link/20250709081300.91aee0874e79.Ib762365933d4dd4fc0bf07833226cd7118dee0a1@changeid