If you are arriving in August, the taxi, at 58€ will likely be the fastest option and certainly the easiest.
If you are arriving in September or later, the RER B/métro 6 from Denfert Rochereau may be faster. I have taken too many 90 minute taxi rides from CDG to addresses near Montparnasse. If it´s raining, definitely take the train.
Paris airport website says RER fare is 11.40 EUR.
That might be the case if you purchased separate RER/métro tickets but one ticket costing 10.30€ is all you need. The best place to obtain information about ticket pricing for public transportation is from the RATP website: https://www.ratp.fr/
I’ve encountered long lines and 15+ min waits to use the RER ticket machines at CDG, and an hour + long wait many times for the ticket window with a real person. There’s no way around it though,
I have never seen waits as long as 15 minutes at the SNCF ticket machines at CDG (there are several banks of machines) but if you do not want to wait, take the free train, CDGVAL, to Roissypol, purchase and board the RER B into Paris at Roissypol (between terminals 1 and 2).
I have just under 4 hours from flight touchdown at CDG till the train departure for Bordeaux.
Should be sufficient time unless you arrive CDG late.
Why would you be in a hurry to catch a commuter train that runs several times an hour?
The RER B into Paris runs every 8 to 10 minutes during the day and purchasing tickets and boarding the next train should never take long.