Poetry: One mountain cannot tolerate two tigers, and a loyal minister cannot choose between two masters. What does it mean?

First of all, this is not a poem, but two idioms. Someone strung them together.

There is no room for two tigers in one mountain: It is a metaphor that there is no room for two strong men in one place. When two strong forces fight, one will be injured.

The statement that "a loyal minister cannot choose between two masters" is wrong, because "choose" is a choice, and the logic of "choosing two masters" does not hold. The correct saying is "a loyal minister will not serve two masters". Shi: Shi salary, doing things for others.

A loyal minister does not serve two masters: A person who only serves one master and never betrays his master is a loyal minister.

There is no connection between these two sentences.