run around本身就有“借口”的意思。give sb the run around给某人借口不就是搪塞、隐瞒他人、草草打发。

【例句】
When I called the bank to ask for a loan, they just gave me the runaround.
我去银行贷款，他们却只是敷衍搪塞我。

The customer service department kept giving me the runaround when I tried to get a refund for the defective product.
当我试图要求退还有问题的产品款项时，客户服务部门一直在敷衍搪塞。