My faucet had a "flow restrictor" in the hose from the faucet to the spray head. It was mandatory during the water rationing years in some cities.
There was a junction where the longer hose went into a small length of hose on the bottom of the fauced. Unplug that junction and pry out the small orifice-looking thing - it is likely clogged with a small amount of some junk.
You don't need it.
When you fill your fresh water tank, put a hose without a nozen all the way down to the bottom of the tank and flush out the residual debris that have likely accumulated over the years. That isn't your problem now, but it may keep your screens from clogging next time.
If you put in a new faucet, it is unlikely it has a flow restrictor so your problem will go away.
From Goggle, "Flow restrictors on a kitchen faucet are small disk-shaped barriers that reduce the amount of water that comes out the faucet. They are installed in various configurations, and may be either added as a unit that replaces the conventional flow-directing screen on a faucet, or built in as part of the faucet itself."