Q: Does "carry" have the same meaning in the following two sentences?

These pipes carry waste water into the river.

Amanda carried the package from home to New York.

A: the same meaning

Q: Does "fatigue" have the same meaning in the following two sentences?

He was suffering from museum fatigue.

Political fatigue.

A: the same meaning

Q: Does "grace" have the same meaning in the following two sentences?

I'm so grateful to God for the grace that He has given me.

God's grace is manifested in the salvation of sinners.

A:
the same meaning