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https://auralex.com/sheetblok-sound-barrier/
Use rockwool or similar as acoustic treatment (reduce how much sound bounces around within a room).
Soundwaves have lengths based on their frequencies. The normal recommendation is 20cm minumum in front or walls or below ceilings. This can be halved if you use 10cm with a 10cm gap behind the panel(s). This will provide reasonable damping down to 200Hz (G, an open 3rd string is 196Hz).
If you use a thinner rockwool or alternative, such as open-cell foam then you will only be treating down to a higher frequency. For example, a 2cm panel with no gap behind the panel, whether rockwool or foam, will provide damping down to around 5kHz, so only the higher treble content will be reduced, giving you unflat response and a muffled sound - a cozy sound for radio (hence the plethora of pyramid foam panels in radio stations) but pretty much useless for music.
Back to your question: what thickness of rockwool are you thinking of such that you want it to be thinner?
Really though you need to ring out the room to find out what you need to do.
GIK acoustics have a free assessment process that is work doing.
Studio: https://www.voltperoctave.com
Music: https://www.euclideancircuits.com
Me: https://www.jamesrichmond.com
As @octatonic said work out what you need first. I did my old mic room by listening and then firing a sweep out out the monitors, recorded it back it and compared the 2 results.
Every space that's not purpose built has problems, it doesn't have to be perfect for a hobby studio. Start with treating the corners and just put some diffusion above your head in the mix position. Then as long as you don't use too big a set of monitors or listen at loud volumes (your neighbours will hear if you do because the rooms got no mass ) you will be able to mix well enough... to the point the the rooms won't be the weakest link.