As tension continues to simmer along the Israel-Lebanon border, the State Department is reminding U.S. citizens about the risks associated with traveling to Lebanon, urging them to "strongly reconsider."

"The Lebanese government cannot guarantee the protection of U.S. citizens against sudden outbreaks of violence and armed conflict," the alert said.

The State Department also notes that while most of Lebanon is classified as a level 3 (reconsider travel) the southern portion of the country, the Lebanon-Syria border area, and refugee settlements are at a level 4 (do not travel).

Officials say this reminder is not a predictor of escalation to come and that the situation in Lebanon is under continuous review.

-ABC News’ Shannon Crawford

As the fight over aid into Gaza continues and as the United Nation cites the dangers to humanitarian workers, the Palestine Red Crescent Society now says 18 of its ambulances -- about one-third of its fleet -- have been taken out of service due to fuel shortages.

"The fuel quantities entering through the Karm Abu Salem crossing do not meet the medical and relief sector’s needs," the PRCS said in a statement.

"With the Israeli occupation continuing to keep the Rafah border crossing closed for about 52 days… the PRCS appeals to the international community for urgent intervention to reopen the Rafah border crossing and allow the flow of humanitarian aid, especially fuel," the agency said.

-ABC News’ Will Gretsky

Israeli Defense Minister Yoav Gallant shared an update with reporters Wednesday after meeting with U.S. officials on the latest in the Israel-Hamas conflict and rising tensions with Hezbollah in Lebanon.

Gallant met with Secretary of Defense Lloyd Austin, Secretary of State Antony Blinken, National Security Advisor Jake Sullivan and several other U.S. officials in Washington, D.C. this week.

"During the meetings we made significant progress, obstacles were removed, and bottlenecks were addressed, in order to advance a variety of issues and more specifically the topic of force build-up and supply of munition,” Gallant said.

Gallant said he discussed "several issues," including "Lebanon, Gaza, Iran, the hostage issue, the transition to the next phase in Gaza, and how this will impact the region."

During Gallant's visit to the U.S., Hezbollah released a video message in which the group threatened to attack crucial Israeli buildings if a full-scale conflict were to break out in Lebanon.

“Hezbollah understands very well that we can inflict massive damage in Lebanon if a war is launched,” Gallant said

Over the past months, the Israeli Defense Forces have eliminated 400 Hezbollah terrorists, according to Gallant.

Regarding the conflict with Hamas, Gallant said, "Hamas as a military formation has been mostly dismantled. We have destroyed most of the Hamas battalions and formations and are now fighting pockets of resistance."

Gallant thanked the U.S. government and the American public "for their enduring support for the State of Israel.

Israeli and American officials sifted through "every single case" of weapons shipments at a meeting in Washington, D.C., clearing up any "misunderstandings" and making "real progress," a senior administration official said.

That does not mean, however, that the U.S. is going to begin shipping the large bombs that have been paused since May, after the president aired concerns about their use in highly populated areas, like Rafah. That pause is still under review, the official said.

In terms of other weapons and supplies, though, the official said there were misunderstandings that the delegations worked through stemming from "complexities" in the U.S.'s highly bureaucratic approval system and requests for certain items to be prioritized.

"We were able to go through everything, and I think where there were some misunderstandings, those were clarified -- about where certain cases might be in the course of our process, which can be complex," the senior administration official said.

"There was real progress in a mutual understanding of where things stand, of prioritization of certain cases over others, so that we can make sure that we are moving things in ways that meet the needs of the Israelis, and with the only exception being one shipment of MK-84s [the 2,000-pound bombs] that remains paused and under review," the official said.

This meeting comes after a video released June 18 by Israeli Prime Minister Benjamin Netanyahu accusing the U.S. of slowing weapons shipments, which the U.S. has denied.

That video was not discussed in Thursday’s meeting between Israeli Defense Minister Yaov Gallant and national security adviser Jake Sullivan, the official said.

-ABC News’ Cheyenne Haslett

In the wake of Israeli Prime Minister Benjamin Netanyahu’s claims that the U.S. has slowed the flow of weapons, White House national security communications adviser John Kirby said that all the weapons continue to flow except "only one shipment of high-density, low-precision munitions that has been paused."

"Israel continues to get arms and ammunition," Kirby told reporters on Wednesday. "We want to make sure that they have what they need … that commitment will not waver."

Kirby did repeat the administration's message that they are "not going to respond" to all of Netanyahu’s public statements.

Israeli Minister of Defense Yoav Gallant said after his White House meeting with national security adviser Jake Sullivan, "We have made significant progress in addressing force buildup and munition supply."

Asked whether the U.S. would support Israel if the war escalated into a conflict on the northern border with Hezbollah, Kirby said more conflict with Hezbollah is not in Israeli's interest and reiterated America's support for Israel.

“We want to see no second front opened and we want to see if we can resolve the tensions up there through diplomatic processes,” Kirby said.

-ABC News’ Michelle Stoddart