Id avoid ring lights and go for a panel light, assuming you can afford to spend a bit of extra money.
Panel lights offer softer light, which is less harsh on your eyes due to their design.
You lose that circle in your eyes and get a square, but its worth it for streamers imo.
https://www.amazon.com/dp/B07PMSBLTH/ref=cm_sw_r_apa_i_FBgQEbREQ95QC
You need a mount for this model, of which you have several options.
This one mounts typically on a rounded monitor stand.
https://www.amazon.com/dp/B00DJ5XH4O/ref=cm_sw_r_apa_i_nDgQEbHM6WQMQ
You can add a gooseneck to that if it's too short for your needs
https://www.amazon.com/dp/B07KGHCSN5/ref=cm_sw_r_apa_i_fFgQEbC3NMPXV
Or you can mount to the wall
https://www.amazon.com/dp/B000IDCDZY/ref=cm_sw_r_apa_i_IHgQEbBAC2769
Then there is the light stand from the floor
https://www.amazon.com/dp/B074VMTP68/ref=cm_sw_r_apa_i_jJgQEbE26ZM4K
If it has a 1/4 - 20, it's compatible with most lighting gear actually. And cameras. And tripods. Mix and match to your needs.
Looks like Smallrig stuff or a variant of it. No idea why you can't just share this info, unless you're just trying to "affiliate" link to higher priced stuff or something.
https://www.amazon.com/stores/SmallRig/page/6EE43315-D8D3-412E-BC03-029F56132C78?ref_=ast_bln
This guy?
SMALLRIG Cool Ballhead Arm Super Clamp Mount Multi-Function Double Ball Adapter with Bottom Clamp for Ronin-M, Ronin MX, Freefly MOVI - 1138 https://www.amazon.com/dp/B00DJ5XH4O/ref=cm_sw_r_cp_api_glt_i_5CQ39QK31QVYD92WQ6EH
For my basestations I use a pipe clamp mount with a 1/4in thread. One clamped onto a standing floor lamp and another on a curtain rod.