I am completing the leased vehicle expense section (business deduction) - do I include HST paid in the total lease expense?

[Jocelyn-TurboTax]

Yes include the total cost including taxes with your vehicle expenses.

Here's a list from the Canada Revenue Agency (CRA) outlining all deductible motor vehicle expenses:
https://www.canada.ca/en/revenue-agency/services/tax/businesses/topics/sole-proprietorships-partners...