ALSA: hda/analog: Rewrite to new probe method

Convert the Analog Device codec driver to use the new hda_codec_ops
probe.  The probe function had to be unified and branched with the
model type specified via driver_data instead.

Other than that, no functional changes.

Signed-off-by: Takashi Iwai <tiwai@suse.de>
Link: https://patch.msgid.link/20250709160434.1859-14-tiwai@suse.de