Remove all metadata (by default this resets the file dates to current time, fine-tune if you want to save some metadata like GPS...):
exiftool -overwrite_original -all= .
Remove also the few remaining Adobe tags:
exiftool -overwrite_original -all= -Adobe= .
Check what metadata remains:
exiftool -a -G1 -s .
Or even more:
exiftool -a -G1 -s -api RequestAll=2 .
[APP14:Adobe] is a special segment that actually can be removed, but doing so may alter the appearance of the image. From the tag documentation: The APP14 "Adobe" segment stores image encoding information for DCT filters. This segment may be copied or deleted as a block using the Extra "Adobe" tag, but note that it is not deleted by default when deleting all metadata because it may affect the appearance of the image.
https://exiftool.org/forum/index.php?topic=10479.0