Beleaguered state Rep. Dawnna Dukes has until the end of the day Tuesday to resign from office — and submit to a drug and alcohol assessment — as part of an offer to settle her criminal corruption case.

The offer is similar to one Dukes rejected last year prior to the Texas Rangers launching an investigation that led to a Travis County grand jury indicting Dukes on 13 felony charges and two misdemeanors.

In a statement on her Facebook page Monday evening, Dukes complained of "character assassination" and reacted to the implication that she has a drug or alcohol problem.

"It would be indecorous of me to respond to impertinent allegations," she wrote, and did not comment about the DA’s offer, or about her defense: "Although some would have you believe that silence is a weakness or admission of guilt, I submit to you that opinion is without merit."

She told reporters in June after pleading not guilty that she would not take any plea deals and instead will proceed to trial on Oct. 16.

RELATED: How Dawnna Dukes is delaying her corruption case

The deal expires at the close of the business day on Tuesday and will not be re-offered, according to Justin Wood of the district attorney’s office. In addition to her resignation, the offer calls for Dukes to:

• Submit to a drug and alcohol assessment and complete any treatment and counseling recommended as a result of the assessment. In a March 29 meeting of the House Appropriations Committee, Dukes showed up late and, after posing a rambling question, referred to medication she was on — "I know I’m talking a lot. I’m full of morphine and will be headed out of here soon," she said.

• Pay restitution in the amount of $3,000 related to charges of tampering with governmental records and abuse of official capacity. Dukes is alleged to have collected pay for days she did not travel to the Capitol in the 2014 Legislative session. She’s also charged with using her legislative staff for personal chores.

• Pay a $500 fine to the Texas Ethics Commission. Dukes was sued by the commission earlier this month for missing a deadline for an elections finance report and then not paying the fine.

• Waive her right to a speedy trial in any future litigation related to these matters

In exchange for accepting the offer, the DA’s office has agreed to drop all charges, but only after Dukes has complied with all conditions.

If found guilty at trial, Dukes could face a maximum punishment of 28 years in jail.

District aAttorney Margaret Moore said the offer resembles the one the 12-term Austin Democrat turned down last year. The biggest difference is the drug assessment.

"Since she has a young child, I thought it would be appropriate to ask her to comply with a treatment plan," Moore said. "If she has a drug problem, it needs to be addressed."

A portion of Dukes’ Facebook post directly addressed what Moore had said earlier in the day:

"While I appreciate any benevolent concern about my health, there is little need to speculate," Dukes said. "My daughter, Leila is my heart, total and complete priority and gives me unconditional love, kisses and strength to fight every bullied battle."