What does "strain out the tea" mean?
If a liquid is 'strained', it is poured through a sieve to hold back solid particles or fragments above a certain size determined by the design of the sieve.
strain verb (SEPARATE)
[ T ] to separate liquid food from solid
food, especially by pouring it through a utensil with small holes in it
Strain (Cambridge Dictionary)
A special kind of small sieve intended for use when pouring tea is called a 'tea strainer':
