Hi,
Since your BIOS doesn’t offer an HDMI Enhanced Mode and Intel’s tools don’t allow a manual override, I'm afraid there isn’t a way to force Windows to treat the HDMI port as 2.0.
The most effective solution here is to bypass the HDMI port entirely by using your laptop’s USB‑C port (if it supports DisplayPort) with a USB‑C to DisplayPort adapter. This alternative connection should let you achieve the 2560x1440 at 144Hz performance you’re looking for. Once you connect via DisplayPort, double‑check your display settings to confirm the resolution and refresh rate.