The windshield washer pump works but it won't spray out in the front or the back windshield

There is a electric motor that pumps washer fluid . Located in the bottom of the washer fluid tank .
Wash Operation (Front and Rear Wipers)
The front and rear washer systems use the same windshield washer fluid pump. When either the front or rear wiper is in the washer position voltage will be supplied to one side of the windshield washer fluid pump (depending on whether it is front or rear), while the other side of the pump is grounded.
At this point, the windshield washer fluid pump sprays solvent onto the windshield. When the front or rear washer is activated, the BCM receives an input from the switch that is activated. The BCM will control the wipers while in the WASH mode. The BCM will control either the front wiper relay or the rear wiper relay to turn on the wipers. The windshield wipers operate at low speed for 3 swipes and returns to the park position.

When turning on the washers do you hear the motor run ? Have some one try it while you listen at the washer fluid tank ! These pump motors do go bad .
turn OFF the ignition.
Disconnect the harness electrical connector of the windshield washer fluid pump.
Connect a test lamp from the windshield washer pump control circuit to a good ground .
Turn ON the ignition, with the engine OFF.
Press the front washer switch.
Does the test lamp illuminate?
YES or NO !

To check to see if pump is working,remove hose at windshield and turn on and see if fluid comes out,if it does then part that shoots it to windshield is clogged,a tooth pick may work to pry it loose and come out,if no fluid comes out,then pump is bad,you can check to see if pump is getting power with a meter.

THE WASHER NOZZLES COULD BE STOPPED UP.USE SMALL PAPER CLIP TO CLEAN OUT ALL NOZZLES HOLES SEE WHAT HAPPEN.

your sprinkler motor needs to be replaced. sprinkler motor is located right below the windshield washer reservoir

I had a similar issue where the hose to the front washer nozzles was broken. I fixed the break in the line and the washer worked without issue.

try and fill up the washer bottle with water for test and use it. if you hear the pump work keep using it till you see where fluid is leaking out. my guess is a hose is broken and all the fluid is leaking out

Probably need to replace the pump. Separate pumps for front and rear. Check with a test light to see if there is power to the pump. If it has power but won't work, replace the pump. If no power, you have a wiring issue. Be sure to turn the switch on and have someone push the washer button when you are checking for power. There won't be any until you push it to "wash".

front pump motor may have come out of washer bottle it is only held in by the seal no bolts

If it shoots from the pump without lines connected, then there has to be blockage somewhere. You mentioned you blew the lines out, did you blow directly back through nozzles themselves?

there is another small relay box just below the windshield washer reservoir about 11/2" wide x about 4" long the washer pump relay is in there