(a) The taxes imposed by this Article do not apply to:
(1) Bicycle tires and other tires for vehicles propelled by human power.
(2) Recapped tires.
(3) Tires sold for placement on newly manufactured vehicles.
(b) Except for the exemption for sales a state cannot constitutionally tax, the exemptions and refunds allowed in Article 5 of this Chapter do not apply to the taxes imposed by this Article.