It depends more on the weight of your light and how you want to position it than on the beauty dish itself.

A regular light stand is usually fine if the flash head is not too heavy and you’re using the dish in a normal front, side, or fill-light position. For outdoor use, stability matters more, so adding sandbags is a good idea.

A C-stand or boom-style stand becomes useful when you need the light extended over the subject, such as for classic butterfly lighting from above. If you want a true overhead or hair-light position, a C-stand/boom setup is often the practical choice.

So:

• regular stand: fine for standard positions
• sturdier stand + sandbags: better for heavier heads or outdoor use
• C-stand/boom: best for above-subject placement, butterfly lighting, or hair light