USB-C Digital AV Multiport Adaptor with M1 MacBook Pro

The Apple Multi-Port adapter AV is limited to the resolutions and refresh rates described in this companion article. 3820 by 2160 at 60 Hz is listed there.

Although the M1 Macs are not yet listed in that article, there is no reason whatsoever they would not be supported as well:

About the Apple USB-C Digital AV Multiport Adapter - Apple Support

The cables you want for HDMI-only Monitors (higher resolutions than HD TV sets) are marked as Certified with an anti-counterfeiting tag and are labeled:

"Premium High Speed HDMI cable" or that + "with Ethernet"  --OR--

"Ultra High Speed HDMI cable" or that + "48G"

Cables with No Certification tags are good for your standard TV set, and not much more..

HDMI is a consumer class interconnect. There is black magic involved at getting it to work at high resolutions and high refresh rates.

If you are serious about displays, use DisplayPort family or its implementation hidden inside USB-C or ThunderBolt.

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Apple only decides to produce adapters when they have something special to add. In the DisplayPort arena, they have no 'special sauce' and have left the issue of adapters to others.

If you pay a little more than the cost of that Apple adapter, you can get a small third-party ThunderBolt-3 "Hub/Dock" device that provides DisplayPort, a charge port, and has additional interfaces such as Ethernet and more USB-A ports.