Should I dispute a $480 deposit deduction while accepting that I damaged one tile?

The deposit statement called the $480 charge "carpet refresh and bathroom repair." I emailed back asking for the two amounts separately. My landlord replied, "You agree the bathroom was damaged, so why dispute the bill?"

This is a California rental I left after four years. I dropped a heavy jar and chipped one bathroom tile shortly before moving out. I told him about it and accept that it wasn't ordinary wear. The carpet is different: the walkway is flattened, but I didn't leave a burn, spill or pet stain. My move-in photos already show shading beside the sofa. I don't know the carpet's age or what "refresh" means in this invoice.

The [California Attorney General's tenant guidance](https://oag.ca.gov/tenants) distinguishes damage beyond normal wear from cleaning needed to restore the move-in level of cleanliness. That distinction seems relevant, but it doesn't tell me the fair price of this tile repair or establish what happened to the carpet.

I'd settle the tile cost once I can see how it was calculated. He says separating the charges will take more time, and I need the rest of the deposit toward my new place. How can I challenge the carpet charge without pretending the tile was somebody else's fault?