Which stylus is correct for a Shellac LP


I found some older LPs which I believe are shellac (because they are stiff, not "bendy" like vinyl). Should I use the wider 78 stylus (3mm?), rather than a stylus typically used for LPs, (eg., .08?) because of the physical composition of the record? I’d rather know in advance than experiment and ruin a record, or a stylus.
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OMG.  I have a stylus for my 78s, and I have a stylus for my LPs (33 1/3).  The question is: are the grooves on the *shellac LPs* wide (like they are on 78s) or narrow (like they are on LPs). Did the recording process affect the grooves (utilize or create narrow grooves) when they made shellac LPs?    
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+1 Elizabeth! I have an early Sonny Rollins pressing just like that in mono from the early 50's. Same groove width as all LPs.
The groove width of a 78 compared to a 33 and 1/3 LP is readily apparent to the eye! No need for a magnifying glass!
"The eye" is relative, (or at least mine is no longer that objective), but I take the reasonable explanations offered - thank you!  I only asked in the first place because I was always taught the rule of thumb: Stiff = Shellac and 'Bendy' = Vinyl.  I actually have a quite a few stiff LPs.  Do I now I have to worry about using a mono stylus for those playbacks instead of the 2 channel stylus I normally use?