What exit restrictions? If you have a valid passport, you can leave the country.

@ cpx
Please pin down the part where I need permission to travel in that link.

If a subsequent manifest is submitted less than 60
minutes prior to departure, the private aircraft pilot must resubmit
the arrival manifest and receive approval from CBP for the amended
manifest containing the added or amended information before allowing
the aircraft to depart the foreign location, or the aircraft may be, as
appropriate, denied clearance to depart,

......................
After CBP receives the
submitted information, DHS would send a message to the submitter of the
manifest information before departure from a foreign airport indicating
that the information has been received and specifying whether landing
rights have been granted at the requested airport, granted at a
different airport designated by CBP, or denied.
........................
After receipt of the manifest information, as in the case where the
manifest information is conveyed using a CBP-approved interactive
electronic transmission system, CBP would perform an initial security
vetting of the data and grant, deny, or restrict landing rights as
appropriate.
.........................

DHS is evaluating whether to inform the
pilot, in the event that CBP denies or restricts landing rights for the
plane, which passenger(s) has been identified by DHS on the selectee or
no-fly lists so that the pilot may better understand potential threats
to the security of the aircraft. In addition, such notification could
avoid additional flight delays or disruptions by allowing the pilot to
remove that individual from the flight until such time as the
individual resolves the selectee or no-fly designation with TSA under
TSA's redress system. Accordingly, DHS is soliciting public comments on
the economic costs and benefits of notifying a pilot about an
individual selectee or no-fly match being aboard the aircraft.

This NPRM proposes to require the pilot of a private aircraft
departing the United States to a foreign port or location to submit a
departure manifest to CBP. Similar to the arrival manifest, the
departure manifest would contain information identifying all
individuals onboard the aircraft. The timeframe for submission of the
departure manifest would be no later than 60 minutes prior to departure
from the United States to a foreign port or location. This NPRM
clarifies the pilot's responsibility to ensure that a departure
manifest regarding all individuals onboard the private aircraft is
submitted
..............
2. Notice of Departure
This NPRM proposes to require private aircraft leaving the United
States for a foreign port or location to obtain clearance from CBP
prior to departing from the United States.

3. Aircraft Required To Clear
The existing regulatory language in 19 CFR 122.61 exempts public
and private aircraft from leaving the United States for a foreign area
from having to obtain clearance prior to departing from the United
States. As such, CBP is proposing to revise paragraph (a) of Sec.
122.61 to indicate that private aircraft leaving the United States for
a foreign area are required to obtain clearance from CBP as set forth
in the language proposed for Sec. 122.26. The paragraph will further
state that all other aircraft, except public aircraft, leaving the
United States or the U.S. Virgin Islands are required to clear if they
carry passengers and/or merchandise for hire or take aboard or
discharge passengers and/or merchandise for hire in a foreign area.
..................
E. Landing Rights

CBP currently requires all aircraft arriving at a landing rights
airport to request permission to land, known as landing rights, from
CBP. Given CBP's authority to deny landing rights within the United
States and to restrict landing to airports designated by CBP,\14\ this
NPRM proposes to expressly state CBP's authority to deny permission to
land in the United States and/or limit aircraft landing locations.