It is a good question. Pride underlies all sin; sin is rebellion from God’s law to “do our own thing.” So when you confess certain sins, you are in a sense confessing pride.
That said, I also find myself confession pride per se as it has reared its head in situations: for example, if I purposely built myself up to put someone else down, etc.
One of the apps I use has an examination of conscience based on the beatitudes. It, in conjunction with one based on the ten commandments, is great for preparing for confession. Here are some based around the gift of Fear of the Lord:
Do I put my trust in Jesus in difficulties, or do I react out of self-righteousness?
Do I receive correction with humility and gratitude?
Is my life on earth one of purification and love or gratification and selfishness?
You would confess actions or deliberately ruminated thoughts in Confession, and then confessors often advise - as St Francis de Sales did - that the penitent state the motivation or vice behind the action. i.e. “Out of pride, I kept pushing an argument with a spouse/friend/coworker even though I knew it wasn’t being constructive”, “Out of pride, I didn’t bother trying at all because I wanted to be #1”, etc.
If it’s always a cause of sin for you then it might be a good idea to confess it often. God gives us a lot of graces in confession to help us overcome our sins.
It’s something that really goes without saying. Going to confession is because of pride. but you might have a particular sin that included “feeling too proud” . for example, “i was too proud to show affection towards my family, and because of it hurt my mother’s feelings”.
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