has the USS Nimitz Battle Group arrived in or near the Persian Gulf yet ?

The USS Nimitz and her Battle Group / Strike Group left California
around the beginning of April. generally it takes about a month or to
reach the Persian Gulf. So if the Nimitz group is not already there
yet, it should be shortly. within maybe, 1 more week or so, yeah?

Then the United States has 3 supercarriers (assuming the Eisenhower
group doesn't leave) within striking distance of Iran, not to mention
at least two smaller "carriers" the Marine assault ships; USS Boxer,
USS Bataan and their escorts.

If the Pentagon needs even more naval power, I've heard they could
easily deploy 2 or 3 additional carrier groups to the region. enough
for... ahem.... Gulf War III: Operation Devastate Iran.