The vote suggested that a period of political warfare between G.O.P. factions would continue to shape lawmaking in the state.

Texas has a powerful new House speaker after years of escalating Republican infighting. Dustin Burrows won the job on Tuesday with the support of Democrats who favored him over a challenger backed by the GOP’s emboldened hard right.

The Issue Is Trio was in Austin for the start of the session and sat down with representatives to talk about the future of both parties.