Hi and thanks for looking into this.
The cable must be a passive one, it has a simple USB-C plug on one end, and an HDMI one on the other.
Similar to this one: https://www.amazon.fr/Acer-C%C3%A2ble-USB-C-vers-HDMI/dp/B0GJ5TYDYH/ref=sr_1_1_sspa?__mk_fr_FR=%C3%85M%C3%85%C5%BD%C3%95%C3%91&crid=1JGC2BSV2RYGS&dib=eyJ2IjoiMSJ9.GW6IYNNYa-veeAP3dZcGrCMhrZQUJ77F6zQ7phMOSs2E96xyp1oTl2-CJgaykpTl26nj1NDFz3YgwY4wWbV0GtTJ8UHGWO-Jh73Y3-jEB5frEcqb4GlGN74wkZaH3ybxwDhkA4Em7L1JkJvuP_QxfhQvORKngm4QpnTlWpfGKn91oONEniis-B3UxL3HCioAILrJSAH5rduUurll9T5auJbeeNFMWKwuqHxYitaNMyZ9E1AMHZEJDP_LHi1cF_o9yMaQENrW5ZojaSgvcGC5XwBelsBUYJJRY1jq_FEScSI.8euNZ8EohSzJ5bEhkbdAnkwlQA7n6-QulmUilrKf9Y0&dib_tag=se&keywords=hdmi%2Busb-c&qid=1784714698&s=electronics&sprefix=hdmi%2Busb-c%2Celectronics%2C180&sr=1-1-spons&aref=3KysIh9trk&sp_csd=d2lkZ2V0TmFtZT1zcF9hdGY&th=1And the issue occurs on both USB ports, both when plugged to AC power and on battery.