I would flush the cartridges till clean (or clear water exiting if the cartridges are all opaque), then run isopropyl alcohol or Windex through the cartridge to disinfect as if there is a biologic contamination, then flush fully with water.
At this point you can blow into the refill hole...
I used Google, probably searched on "epson 1430 stacker assembly". Eventually I looked at Epson's web site and found Support and then able to find the US distributors I linked in my post.
Click on the column for the part number, not the 133 - it toggles to the exploded diagram of the printer...
Also known as a "stacker assembly".
Found a parts catalog. See #133:
Then clicked on the field for #133 and got
Now you know the part number to search on Google.
I do not know this printer but looking at the specs it has 6 ink tanks, including Pigment Black for text and 5 Dye-based cartrisges, and a rear feed, too. Nice.
Have no idea if there are refill inks and ARC chips or a resetter.
Hope it is durable and you are happy with the output. Let us know.
I looked at the MegaTank line, even printed test pages in a brick and mortar store. I ended up going a different route with a Canon Maxify (the 5120 when it was on sale for $150 but now $180 at B&H).
I knew going in that the Maxify is more an office printer with functional image quality but...
I'm not trying to make work for you. We've had people say their nozzle print was perfect but it wasn't when they finally posted it. :idunno
I use a systematic approach to unknowns which typically includes starting from the start - a nozzle check - unless I am absolutely sure what the issue...