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If by standard cable you mean a cable with at least one USB-C male connector at one end, then yes. However, I’d recommend using a USB-C to USB-C cable that’s specified/certified to handle higher loads when charging. The amperage is the most important spec here, as it determines how hot the cable gets etc. So cables rated for 4A or more are the better option.
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Although a standard USB charger (or wall plug if you will) would give some power to charge the device, the best option is to use a USB-C charger that has Power Delivery (PD) negotiation and ideally can provide 60+ Watts of power by providing 4A(mperes) at 15V, as explained in this post:
The provided adapter will do fine, as will others that can match this requirement.
Also remember that instead of running a longer USB-C cable you may want to just have an extension cord to the USB-C charger instead. If you do get a longer cable, consider the braided kind as with those lengths you mentioned the chance of wear and tear becomes greater.
These are some examples, I have something similar but from a brand called Ugreen:
https://www.amazon.co.uk/dp/B07QPNRGYH/
Hope this helps, feel free to ask any other questions you may have