You're free to come up with your own index with your own basket. The BLS publishes inflation indices at a very granular level, so you don't even need to reverse engineer their data. For maximum shock factor, may I suggest a basket overweighted towards medical care, college tuition, and healthcare[1]?
I wondered why you had medical care and healthcare, they seemed redundant, but good on BLS for separating hospital costs and medical costs. That truly is granular.
Even if they don't, that's not a valid argument. A metric can be misleading even in the absence of better ones. The parent comment does not deserve the downvotes.
[1] https://www.aei.org/wp-content/uploads/2020/01/cpi2020-875x1...