Found this PSP 1004 for 10 dollars at a thriftstore : r/PSP
Amazon.com: OSTENT High Capacity Quality Real 1800mAh 3.6V Lithium Ion Polymer Li-ion Polymer Rechargeable Battery Pack Replacement for Sony PSP 1000 PSP-110 Console : Video Games
Sony PSP 1004 PlayStation Portable System PlayStation Black no battery untested | eBay
Sony PSP 1000 vs Sony PSP E1000: What is the difference?
PSP E1000 Review and Comparison with the PSP 1000 - YouTube