Correct! I am using one from Amazon. So far so good! Gonine AC-PW20 AC Adapter ACPW20 Power Supply NP-FW50 Dummy Battery DC Coupler Charger Kit for Sony Alpha A6000 A6100 A6400 A6500 A6300 A5100 ZV-E10 A7 A7II A7RII A7SII A7S RX10 II IV NEX Cameras. https://www.amazon.com/dp/B01D67LTIK/ref=cm_sw_r_cp_api_glt_fabc_SFJR6Y2TJZQT8ZGDWEVD
I would say don’t skimp out on your capture card. I bought some cheap POS on Amazon and it was so buggy. Camera feed was horrible and just made for an annoying experience.
I bought this one: Gonine AC-PW20 AC Power Supply Adapter and DC Coupler Charger Set, Replace NP-FW50 Battery for Sony Alpha A6500, A6400, A6300, A7, A7II, A7RII, A7SII, https://www.amazon.com/dp/B01D67LTIK/ref=cm_sw_r_cp_apip_ZAFaBzmH59fED
For the exact same reason (webcam) and it works perfectly.