Specs for a 13" MacBook Pro M2 Purchased in 2022

Yes, those are your specs.

one external display up to "6K".

Maximum nominal Resolution: 6016 by 3384 pixels, Not what you wrote

using HDMI to get there will be near impossible.

yes. ThunderBolt cables have twice the data pathways and the ability to momentarily run all lanes outbound when required. Length limit is 0.8 meters for Apple's cables, and less -- 0.5 meters -- for cables with less attention to detail.

the resolution of that LG ultra-wide is like a 4K display, where the bottom half has been omitted. Because of the display data timing, it requires you to follow all the rules for 4K displays.

The cable you mentioned will be trouble-free, and work for a very long time.

If you decide to use 'only' a USB-C cable instead, it needs to meets the USB-C specs I mentioned above, and be under one meter.

Grant, replying this thread as you are well-informed. I have a 13 Macbook Pro 2022 M2, too, and am purchasing a 4K LG monitor that charges at 60W (https://www.lg.com/us/monitors/lg-27un850-w-4k-uhd-led-monitor).

Will this be adequate to power the Macbook?

Apple re-arranged the furniture when the M3 MacBook Pro was introduced.

MacBook Pro (13-inch, M2, 2022) - Technical Specifications

Battery and Power

• Up to 20 hours Apple TV app movie playback
• Up to 17 hours wireless web
• 58.2-watt-hour lithium-polymer battery
• 67W USB-C Power Adapter

The potential risk is that if the display provides LESS power than its nominal power, you may fall short.

Your computer performs best when connected to AC power. It can use the full output of the Power Adapter AND when doing especially challenging work will also freely "borrow" power from the battery. In some cases, even with the power adapter connected, the charged state may decline during stressful work.

NO, not at all. those are cables for 'ordinary' devices.

to support displays at those high speeds, cables must meet USB 3.1 SuperSpeed Plus as a minimum, AND

... no longer than ONE METER, maximum.