If the pump is running, even if its badly, I doubt its the fuse. BTW is the rear washer working OK? If so it points more toward blocked front jets.
Try tracing the water pipe from the pump to the jets to see if you can find a joint somewhere. Disconnect the pipe at this joint and run the pump. If you get a good strong flow it suggests the pump is ok and its the jets that are blocked. . I know this sounds crude but try filling your mouth with water (not washer fluid !) then blow this as hard as you can through the pipe towards jets . If you get a good spray from each nozzle it indicates they are not blocked and you need to look again at the pump/bottle filter. If you get no spray it might just be you were not able to blow hard enough, but does suggest that some cleaning, or replacement of jets might be needed. You might be able to unclog them by alternately blowing and sucking on the feed pipe. Beware of swallowing screen wash, it often has bitrex in it to stop children drinking it.
If when you disconnected the pipe the pump works but the flow seems quite weak switch it off and try filling your mouth with water again and blowing hard down the pipe towards the pump.

With luck thjs will reverse the flow and flush any muck blocking the pump or filter back out into the washer bottle.
Sorry I know its rough and ready. I have done these things on a corsa and it worked . But you might be able to rig up some sort of air or other water pump to do the checks.
If your checks conclude it needs a new pump ,these can be a bit inaccessible and removal might damage rubber seals etc. . It might be best to find a good second hand pump which is still connected to its water tank.
You could also try removing the jets and soaking them in some kettle/iron descaler. Especially if you live in a hard water area. But having removed them it might be easier just to replace them with new ones.