Is getting hot /iced coffee (decaf/regular) from Starbucks problematic? It’s this different for Ashkenazim than for Sefardim based on notem ta’am lifgam?

For a plain coffee or teabag with no flavors it is ok. Beware that some tea mixes contain grape juice.
The usage of kosher and non kosher for other equipment is problematic and although more lenient according to Sefaradim it is not recommended to eat from a non kosher kitchen.