Detailed Analysis:

• Claim: Senator John Cornyn and Attorney General Ken Paxton are vying to be the tougher candidate on Democratic lawmakers who left Texas.
• Assessment: Unverified. This is a claim about political strategy and motivation, which is difficult to verify without direct quotes or corroborating evidence. The article provides no specific evidence to support this claim.
• Claim: Potential Democratic rivals seek their own spotlight.
• Assessment: Unverified. Similar to the previous claim, this is a general statement about political ambition. While plausible, it lacks specific supporting evidence within the provided context.
• Claim: The U.S. Senate race is shaping the fight over redistricting in Texas.
• Verification Source #2: Source 2 explains that redistricting is a chance to rig maps to favor certain candidates or political parties.
• Verification Source #3: Source 3 mentions that a U.S. Senate race could be shaping up in Texas and references Texas Democrats' redistricting.
• Verification Source #4: Source 4 mentions Senator César Blanco standing up for El Paso and West Texas in a redistricting hearing.
• Assessment: Supported. Sources 2, 3, and 4 all suggest a connection between redistricting and political races/candidates.