Residents of France may enter using travel documents which are valid
This applies to holder of resident visa. For normal visa, the passport must be valid for 3 months from the date of departure.
See also: https://www.gov.uk/guidance/living-in-france
If you have rights under the Withdrawal Agreement, you can enter and
exit EU countries with a valid passport. You do not need any
additional validity on the passport beyond the dates on which you are
tl;dr - You can enter with passport which is valid for less than 3 months, provided you have the resident visa.