primal defense and natren

i am taking primal defense probiotics. base on what i've been reading it's not a resident probiotic (transient). i plan to use natren probiotics.

but i dont want to give up using primal defense yet as it is helping my
yeast infections.

my question is if i take natren and primal defense at the same
day would they compete with each other?
with primal defense being more aggressive would it just kill natren's probiotics?

i wont really take them exactly the same time as natren is taken during meals while PD is on empty stomach.