From a consumer rights perspective, especially in the EU's "Right to Repair" framework, many argue that artificially locking a printer due to a counter, while the pad is still functional, is planned obsolescence. Several class-action lawsuits have been filed against Epson (and other printer manufacturers) over this practice.
Exit the software. Power cycle the printer (turn off, wait 30 seconds, turn on). The "Service Required" error should be gone. Run a test print. Epson Adjprog.exe