I would start by taking the hot (red) supply line off the copper tube where it attaches to the faucet (2nd photo/under sink) just to be sure the blockage isn't right at the threaded connection to the copper pipe.
Depending on the debris, I've see the debris be large enough that it made it through the supply line but not through the smaller copper pipe.
You will of course, need to remove the pressure first (city water/pump) so that when removing the line you don't get soaked or blow water all over the place under the sink.
Maybe even run some water through the line while it is off just to be sure the supply line (red) is open and/or not kinked somewhere.
If there is nothing noticeable at that lower connection, you will need to disassemble the single lever on your faucet, (first photo) remove the cartridge parts and see what is in there.
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