Israel-Gaza updates: IDF to begin daily 'tactical pause' along Gaza aid route

Israeli troops shot and killed six Palestinians during a raid on a small village near the city of Jenin in the occupied West Bank on Tuesday amid escalating violence there, according to the Hamas-run Palestinian Ministry of Health.

The Israel Defense Forces said its soldiers killed "four armed terrorists" and injured "additional ones" amid "exchanges of fire" while conducting "counterterror activity" in the Kafr Dan area.

-ABC News' Nasser Atta and Dana Savir

Qatar and Egypt have received a response from Hamas and the Palestinian factions regarding the truce proposal, the Qatari Foreign Ministry said Tuesday.

Hamas and Islamic Jihad said in a statement, "The response prioritizes the interest of our Palestinian people. The need to completely stop the ongoing aggression against Gaza. The Palestinian delegation expressed its readiness to deal positively to reach an agreement to end this war against our people, based on a sense of national responsibility."

A U.S. official familiar with negotiations describes Hamas’ response as not an outright yes or no, but a counter with questions about provisions included in the proposal and some additional demands.

Another official said that while the U.S. is still analyzing Hamas’ response, mediators see the potential to bridge remaining gaps at this point and will coordinate with all parties involved on the next steps -- which will likely include another round of talks.

Israel received the Hamas response from the mediators Tuesday evening, according to a senior Israeli official. In its response, Hamas rejected the outline of the deal for the release of the abductees presented by President Joe Biden, the official said.

-ABC News' Shannon Crawford and Dana Savir

All four hostages rescued from Gaza this weekend have been discharged from hospitals, local officials told ABC News.

The three male hostages -- Almog Meir Jan, 22; Andrei Kozlov,27; and Shlomi Ziv, 41 -- were discharged from Sheba Medical Center on Tuesday, according to the medical center.

Noa Argamani, 26, was transferred to Ichilov Medical Center on Saturday to be with her mother, who is in the hospital, officials said. Argamani was discharged on Tuesday morning, a hospital spokeswoman told ABC News.

-ABC News Jordana Miller and Dana Savir

The U.S. announced $404 million in aid for Palestinian civilians in Gaza and the region, bringing the total amount of aid from the U.S. to over $674 million since the wore broke out, the State Department announced Tuesday.

"This new funding will provide essential support to vulnerable Palestinians in Gaza, the West Bank and the region, including food, safe drinking water, health care, protection, education, shelter, and psychosocial support," the State Department said. "We urge other donors to contribute to the humanitarian response in Gaza and the region, increase support to those affected by the conflict, and work together to find lasting solutions to the crisis."