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It's not quite clear what you're trying to say with a link to the law.
If you're trying to say that bicycles are permitted on every road, your link doesn't actually say that. To be more precise, this is much of the the state law regarding bicycles, but 1) a law in another section could prohibit it, and 2) there could be a local law that prohibits something.
If you're looking for a citation that says that cyclists can ride on any road in Austin, this would be better, in particular this part --
STATE LAWS PERTAINING TO BICYCLES
Bicycles are allowed to ride on any street in the City of Austin, to include; Interstate 35, Mopac (Loop 1), US Highway 183, and the Toll Way, (except 183A) since neither the commission (TXDot) nor the city has adopted rules preventing such, nor erected official traffic-control devices to prevent this. (There are signs on Mopac, but the city ordinance has been lifted, therefore, they are not enforceable and should've been removed).
And make sure everybody follows Zach's example. If you're going to do it, that's the way to do it.
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